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COMPLEX MULTIDISCIPLINARY SYSTEMS DECOMPOSITION FOR
AEROSPACE VEHICLE CONCEPTUAL DESIGN AND
TECHNOLOGY ACQUISITION
by
AMEN OMORAGBON
Presented to the Faculty of the Graduate School of
The University of Texas at Arlington in Partial Fulfillment
of the Requirements
for the Degree of
DOCTOR OF PHILOSOPHY OF AEROSPACE ENGINEERING
THE UNIVERSITY OF TEXAS AT ARLINGTON
August 2016
Committee Chair: Bernd Chudoba
Committee Members: Atilla Dogan
Alan Bowling
Zhen Han
Wen Chan
ii
Copyright © by Amen Omoragbon 2016
All Rights Reserved
iii
ACKNOWLEDGEMENTS
A lot of people have contributed to this doctorate research endeavor academically,
financially and spiritually financially. First and foremost, I give all glory and honor to God
and to His Son Jesus Christ, without whom my life is meaningless. I thank Him for giving
me salvation, health, strength, ability and the resources to accomplish my research
objectives.
Second, I express gratitude to my research mates Amit Oza and Lex Gonzalez.
We embarked together on a near impossible research topic and we persevered together
to achieve success. The hours, sweats and tears invested together are irreplaceable and
I can choose no better people to work with.
Third, I thank my Ph.D. advisor Dr. Bernd Chudoba for professional direction,
compulsion and insight. His role is instrumental because the lessons learned from his
thought processes are invaluable to approach problems. In addition, the access to
Aerospace vehicle design laboratory Data and knowledge bases. they eased the challenge
of literature search. He also provided a network of industry professionals to advise on the
research.
Fourth, I express gratitude to the late Prof. Paul Czysz and my AVD Lab
predecessor Dr. Gary Coleman for instilling in me the multidisciplinary design mindset. I
would also like to thank Eric Haney, Brandon Watters, Reza Mansouri, Doug Coley,
Thomas McCall, James Haley and all of the past and current members of the AVD Lab
with whom I have had of the privilege of working, for their support and friendship throughout
the course of my research.
Fifth, I thank my biological family in Nigeria and my adopted families here in the
United States including the Ibrahims and the Dawodus. Their financial, moral, emotional
and spiritual support made it possible to push through the difficult times. I also thank my
iv
church family at United Christian Fellowship of Arlington and other well-wishers for all the
prayers and words of encouragement they gave throughout the course of this research
endeavor.
Finally, but not the least I thank my soon to be wife Elizabeth for supporting me,
encouraging me, praying with me and believing in me during the most stressful and chaotic
portions of my work.
I pray that the good Lord rewards you all in multiple folds in Jesus name, Amen.
September 9, 2016
v
ABSTRACT
COMPLEX MULTIDISCIPLINARY SYSTEMS DECOMPOSITION FOR
AEROSPACE VEHICLE CONCEPTUAL DESIGN AND
TECHNOLOGY ACQUISITION
Amen Omoragbon, PhD
The University of Texas at Arlington, 2016
Supervising Professor: Bernd Chudoba
Although, the Aerospace and Defense (A&D) industry is a significant contributor to
the United States’ economy, national prestige and national security, it experiences
significant cost and schedule overruns. This problem is related to the differences between
technology acquisition assessments and aerospace vehicle conceptual design. Acquisition
assessments evaluate broad sets of alternatives with mostly qualitative techniques, while
conceptual design tools evaluate narrow set of alternatives with multidisciplinary tools. In
order for these two fields to communicate effectively, a common platform for both concerns
is desired. This research is an original contribution to a three-part solution to this problem.
It discusses the decomposition step of an innovation technology and sizing tool generation
framework. It identifies complex multidisciplinary system definitions as a bridge between
acquisition and conceptual design. It establishes complex multidisciplinary building blocks
that can be used to build synthesis systems as well as technology portfolios. It also
describes a Graphical User Interface Designed to aid in decomposition process. Finally, it
demonstrates an application of the methodology to a relevant acquisition and conceptual
design problem posed by the US Air Force.
vi
TABLE OF CONTENTS
ACKNOWLEDGEMENTS ..........................................................................................................III
ABSTRACT ............................................................................................................................ V
LIST OF ILLUSTRATIONS ......................................................................................................... X
LIST OF TABLES .................................................................................................................. XIII
CHAPTER 1 INTRODUCTION .................................................................................................... 1
1.1 Motivation of Research Topic ............................................................................ 1
1.2 Background of Research topic .......................................................................... 3
1.2.1 Acquisition Lifecycle .................................................................................. 3
1.2.2 Acquisition and Conceptual Design .......................................................... 5
1.2.3 Problems in Conceptual Design Relating to Acquisition ......................... 10
1.2.4 Stakeholder Requirement Definition Solutions ....................................... 11
1.3 Research Scope and Objectives ..................................................................... 13
1.4 Research Approach and Dissertation Outline ................................................. 14
CHAPTER 2 COMPLEX SYSTEMS, AIRCRAFT SYNTHESIS AND PORTFOLIO MANAGEMENT ........ 16
2.1 Complex Systems and Complex Multidisciplinary Systems ............................ 16
2.1.1 Complex Systems ................................................................................... 16
2.1.2 Aerospace Vehicles as Complex Multidisciplinary Systems ................... 20
2.2 Review of Aerospace Vehicle Synthesis Systems .......................................... 23
2.2.1 Aerospace Vehicle Design Synthesis Systems ...................................... 23
2.2.2 Synthesis Systems Compatibility with Acquisition Problem ................... 30
2.2.3 Concepts for Advanced Synthesis Systems ........................................... 38
2.3 Portfolio Planning for Technology Acquisition ................................................. 39
2.3.1 Portfolio Planning Management .............................................................. 40
2.3.2 Synthesis Tool Composition ................................................................... 42
vii
2.4 Chapter Summary and Solution Concept Specification .................................. 43
CHAPTER 3 COMPLEX MULTIDISCIPLINARY SYSTEM DECOMPOSITION CONCEPT .................... 45
3.1 Decomposition into CMDS Blocks ................................................................... 46
3.2 Decomposition into Product Blocks ................................................................. 48
3.2.1 Subsystem Decomposition ..................................................................... 49
3.2.2 Operational Event Decomposition .......................................................... 57
3.2.3 Operational Requirement Decomposition ............................................... 62
3.3 Decomposition into Analysis Process Blocks .................................................. 64
3.3.1 System Analysis Blocks .......................................................................... 65
3.3.2 Disciplinary Analysis Blocks .................................................................... 66
3.4 Decomposition into Disciplinary Method Blocks .............................................. 66
3.5 Chapter Summary............................................................................................ 68
CHAPTER 4 COMPLEX MULTIDISCIPLINARY SYSTEM DECOMPOSITION TOOL .......................... 69
4.1 CMDS Decomposition Methodology................................................................ 70
4.2 CMDS Decomposition Input Forms ................................................................. 71
4.2.1 Product Input form .................................................................................. 71
4.2.2 Analysis Process Input Form .................................................................. 73
4.2.3 Disciplinary Method Input Form .............................................................. 74
4.3 Chapter Summary............................................................................................ 76
CHAPTER 5 COMPLEX MULTIDISCIPLINARY SYSTEM DECOMPOSITION CASE STUDY ............... 78
5.1 Case Study Objectives .................................................................................... 78
5.2 Case Study Problem – AFRL GHV .................................................................. 78
5.3 Case Study Research Strategy ....................................................................... 81
5.4 Part 1: Technology Acquisition Product Portfolio Prioritization ....................... 81
5.4.1 Reference Vehicle Identification from AVD Database ............................ 82
viii
5.4.2 Reference Vehicle Decomposition into Technology Portfolio ................. 84
5.4.3 Candidate Vehicle Composition from Technology Portfolio ................... 87
5.4.4 Candidate Vehicle Portfolio Value Assessment ...................................... 89
5.4.5 Project Vehicle Selection ........................................................................ 90
5.5 Part 2: Conceptual Design Parametric Sizing ................................................. 91
5.5.1 Decomposition of Synthesis Systems at ASE Laboratory ...................... 92
5.5.2 Composition of Sizing CMDS for Candidate Vehicle 10 ......................... 95
5.5.3 Visualization of Candidate Vehicle CV10 Feasibility Solution Space ..... 97
5.6 Case Study Conclusion ................................................................................. 104
5.7 Chapter Summary.......................................................................................... 104
CHAPTER 6 RESEARCH CONCLUSION, CONTRIBUTION AND OUTLOOK ................................. 106
6.1 Conclusion ..................................................................................................... 106
6.2 Contributions and Benefits of CMDS Decomposition .................................... 108
6.3 Future Work ................................................................................................... 108
METHODS LIBRARY SOURCE CODE ................................................................ 110
A.1 Aerodynamics .................................................................................................... 111
AERO_MD0005 ........................................................................................ 111
AERO_MD0006 ........................................................................................ 111
AERO_MD0007 ........................................................................................ 114
A.2 Propulsion .......................................................................................................... 117
PROP_MD0008 ........................................................................................ 117
A.3 Performance Matching ....................................................................................... 118
PM_MD0003 ............................................................................................. 118
PM_MD0008 ............................................................................................. 118
PM_MD0009 ............................................................................................. 118
ix
PM_MD0010 ............................................................................................. 119
A.4 Weight & Balance ............................................................................................... 122
WB_MD0003 ............................................................................................ 122
CV10 CMDS ................................................................................................ 124
B.1 Input File............................................................................................................. 125
B.2 Results ............................................................................................................... 130
REFERENCES .................................................................................................................... 134
BIOGRAPHICAL INFORMATION ............................................................................................ 144
x
LIST OF ILLUSTRATIONS
Figure 1-1 Defense Acquisition Systems Engineering Lifecycle (Redshaw 2009) ............. 5
Figure 1-2 Design Lifecycle Phase (Omoragbon, 2008) ..................................................... 6
Figure 1-3 Review of Aircraft Synthesis Systems ............................................................. 11
Figure 1-4 NASA/DOD Technology Readiness Level Descriptions (NASA) .................... 12
Figure 2-1 Views of complexity (Bar-Yam, 1997) (a) Simple system made complex by
number of disciplines studied (b) Complexity due to multidisciplinary interactions .......... 18
Figure 2-2 System Architecture Specification Concepts (Shashank , 2010) .................... 19
Figure 2-3 Complexity of Aerospace Vehicles Based ....................................................... 21
Figure 2-4 Confluence Diagram ........................................................................................ 22
Figure 2-5: Aerothermodynamics Environment of Hypersonic Vehicles (Hirschel, 2008) 23
Figure 2-6 Evaluation Process of Design Synthesis Systems (Huang 2006) ................... 25
Figure 2-7 Specification Synthesis System AVDS-SAV (Huang 2006) ............................ 26
Figure 2-8 Nassi-Schneiderman diagram for the Loftin design process (Coleman 2010) 27
Figure 2-9 Example Process overview card (Coleman 2010) .......................................... 28
Figure 2-10 Example Methods overview card (Coleman 2010) ....................................... 29
Figure 2-11 Integration and Connectivity .......................................................................... 32
Figure 2-12 Interface Maturity ........................................................................................... 33
Figure 2-13 Influence of New Components or Environment ............................................. 35
Figure 2-14 Prioritization of Technology Development Efforts ......................................... 36
Figure 2-15 Problem Input Characterization ..................................................................... 38
Figure 2-16 Comparison of Program vs Portfolio Approach to R&D (Janiga, 2014) ........ 40
Figure 2-17 Problem Formulation Data Automation Process (Oza 2016) ........................ 41
Figure 2-18 Notional Example of Composability (Petty and Weisel 2003) ....................... 43
Figure 3-1 Technology Innovation and sizing framework ................................................. 46
xi
Figure 3-2 CMDS Decomposition Blocks.......................................................................... 48
Figure 3-3 Product Block Decomposition .......................................................................... 48
Figure 3-4 Example of hierarchal product decomposition ................................................ 49
Figure 3-5 Example of structural decomposition .............................................................. 50
Figure 3-6 Example of functional decomposition .............................................................. 51
Figure 3-7 Functional Subsystem Block Decomposition .................................................. 54
Figure 3-8 Example Shell Vehicle Packages .................................................................... 56
Figure 3-9 X-51A decomposition into hardware implementations .................................... 57
Figure 3-10 Operational Event Decomposition Block ....................................................... 58
Figure 3-11 Example Flight Profile (Jenkinson, 2003) ...................................................... 60
Figure 3-12 Artist rendering of North American XB70 (Bagera, 2008) ............................. 61
Figure 3-13 Operational Requirement Decomposition Blocks .......................................... 64
Figure 3-14 Design Structure Matrix representation of a process (Kusiak 1999) ............. 64
Figure 3-15 Analysis Process Decomposition Blocks ....................................................... 65
Figure 3-16 Disciplinary Method Block Decomposition .................................................... 67
Figure 4-1 AVD DBMS Three Layer Architecture ............................................................. 70
Figure 4-2 Methodology for CMDS Decomposition .......................................................... 71
Figure 4-3 Product Input Form .......................................................................................... 72
Figure 4-4 Analysis Process Input Form ........................................................................... 74
Figure 4-5 Disciplinary Method Input Form ....................................................................... 75
Figure 4-6 Example Methods Library Entry MATLAB m-file (AERO_MD0001.m) ............ 76
Figure 5-1 Generic Hypersonic Vehicle Study Description (Ruttle et al., 2012) ............... 80
Figure 5-2 Technology Acquisition Portfolio Prioritization Roadmap (Chudoba, 2015) ... 82
Figure 5-3 Vehicle Decomposition – Reference Vehicle Listing ....................................... 83
Figure 5-4 Reference Vehicle Decomposition Methodology ............................................. 84
xii
Figure 5-5 Reference Vehicle Decomposition into functional hardware ........................... 85
Figure 5-6 Candidate Vehicle Synthesis Methodology ..................................................... 87
Figure 5-7 Portfolio Value Assessment Methodology ....................................................... 90
Figure 5-8 Composite Candidate Vehicle TRL for risk scenarios ..................................... 90
Figure 5-9 Characteristics of Candidate Vehicle 10 ......................................................... 91
Figure 5-10 Overview of AVDS Synthesis System (Coleman 2010) ................................ 92
Figure 5-11 Design Mapping Matrix of AVDDBMS Product Library ..................................... 93
Figure 5-12 Design Mapping Matrix of AVDDBMS Process and Method Librarires ............ 94
Figure 5-13 Design Structure Matrix for CV10 sizing CMDS blueprint ............................. 97
Figure 5-14 Sample fixed-mission solution space ............................................................ 98
Figure 5-15 Sample fixed mission solution space with carrier weight constraints ............ 99
Figure 5-16 Sample fixed mission solution space with carrier packaging constraints ...... 99
Figure 5-17 Design mission for CV10 solution space ..................................................... 100
Figure 5-18 M6 CV10 carriage weight solution space .................................................... 101
Figure 5-19 M7 CV10 carriage weight solution space .................................................... 101
Figure 5-20 M6 CV10 gross weight landing solution space ............................................ 102
Figure 5-21 M7 CV10 gross weight landing solution space ............................................ 102
Figure 5-22 M6 CV10 carriage size solution space ........................................................ 103
Figure 5-23 M7 CV10 carriage size solution space ........................................................ 103
xiii
LIST OF TABLES
Table 1-1 Aircraft Synthesis Systems (Chudoba, 2001; Huang, 2006; Coleman, 2010) ... 6
Table 2-1 Hierarchy Complexity (Boulding 1977) ............................................................. 19
Table 2-2 Classification of aerospace design synthesis approaches (Chudoba 2001) .... 24
Table 2-3 Selected By-Hand Synthesis Methodologies .................................................... 30
Table 2-4 Selected Computer-Based Synthesis Systems ................................................ 30
Table 2-5 Literature Survey Criteria – System Capability ................................................. 31
Table 2-6 Scope of Applicability to CD Phase .................................................................. 34
Table 2-7 Scope of Applicability to Aerospace Product Types ......................................... 34
Table 2-8 Data Management Survey Criterion ................................................................. 37
Table 2-9 Data Management Capability ........................................................................... 37
Table 3-1 Description of Hardware Function Categories .................................................. 53
Table 3-2 Hardware Attribute Examples ........................................................................... 55
Table 3-3 Description of Mission Types ............................................................................ 59
Table 3-4 Example thrust function modes for a vehicle .................................................... 61
Table 3-5 Mach Number Flow Regimes ........................................................................... 62
Table 3-6 Earth atmospheric layers used as altitude range blocks .................................. 62
Table 4-1 AVDDBMS Layers ................................................................................................ 69
Table 5-1 Lift and Thrust Source Technology Portfolio Attributes .................................... 86
Table 5-2 Technology Portfolio Definition Shell Vehicles ................................................. 88
Table 5-3 Candidate Vehicle Portfolio .............................................................................. 88
Table 5-4 Candidate Vehicle Portfolio (Cont’d) ................................................................ 89
Table 5-5 AVDS Analysis Process Objective Function Block ........................................... 96
Table 5-6 Disciplinary methods selected for composing CV10 Sizing CMDS .................. 96
1
Chapter 1
INTRODUCTION
1.1 Motivation of Research Topic
The Aerospace and Defense (A&D) industry is a significant contributor to the
United States’ economy, national prestige and national security. In 2014, the industry made
$408.5 billion in revenue (Deloitte 2015), part of which was $78.7 billion in aerospace
export-import trade balance which led to the employment of about 700,000 people (DoC
2015). In addition, recent successes of the SpaceX Falcon 9, ULA Atlas and Blue Origin
New Shepard launches have rekindled interests in the Space travel. Furthermore, there
have been significant investments in high-speed technologies, such as Hypersonic Test
Vehicle (HTV), XS-1 and SR-72 to improve U.S. defense systems from global threats.
Although the A&D industry as a whole reported increased profits in 2014, defense
subsector revenues have seen a down turn. The sector saw a $5.4 billion decline in
revenue in 2014 and is expected to reach an all-time low in 2015 (Deloitte 2015). Steinbock
explains that the challenges the US defense faces are cost pressures endangered by
sequestration, limited budgets, bias for short-term defense polices at the expense of
investments in longer term higher risk activities, challenges of defense acquisitions, shift
from defense spin-offs too consumer market spin-ons, hollowing out of the defense
industrial base, erosion of competitive inter-service pressures, lower defense contractor
R&D intensity and rising foreign defense (Steinbock 2014).
The major sources of the revenue decline are cost overruns and schedule delays
experienced by DOD and A&D companies. In “Can We Afford Our Own Future?” Deloitte
predicts that the average program cost overruns may exceed 46 percent by 2019 (Deloitte
2009). The root causes of the problem are identified as:
2
Project management – Activities such as planning, sourcing, assurance, staffing,
finance and integration have increased budget overruns without improving
development cycle time. In addition, managers rely heavily on assumptions about
system requirements, technology, and design maturity, which are consistently too
optimistic.
Politics – Acquisition decisions are biased towards political expediency and not
necessarily performance results. This has resulted in fund shifting to and from
programs in order to hide bad news reports. Thus, undermining well-performing
programs to pay for poorly performing ones.
Supply Chain – Original equipment manufacturers (OEMs) and large platform
contractors are shedding more their manufacturing and subsystem assembly work
and streamlining their supplier base to create greater economies of scale. This has
led to increased supplier dependency and risk of supply bottlenecks.
Technical Complexity – Increasing performance requirements and desire for the
newest technologies that apply the latest theories has led to the design of more
complex vehicles. This has translated to over 500% increase in development
lifecycles since the 60’s.
Talent Shortage – Baby boomers and older workers comprise 70% of the DoD and
civilian AT&L workforce. Coupled with the fact that the US is producing fewer
qualified scientist and engineers and the baby boobers heading for retirement,
causes concern about the talent availability in A&D industry. In addition, A&D
contractors experience shortage of experienced employees with a broad
understanding of systems integration in an industry that is heading toward more
system integration and complexity. This has had a direct effect on cost overruns
and delays.
3
These problems highlight the following motivating problems with technology forecasting:
The need for increase in design efficiency to balance out waste in the development
chain.
The need for increase in design capability to improve correctness and drive
optimism towards realism.
The need to Increase in design transparency to reduce acquisition decision bias.
The need for a methodology that can be adapted for various system integration
environments to allow easier knowledge transfer to incoming engineers.
The need for a platform that allows for communication between different levels of
the development life cycle and supply chain.
1.2 Background of Research topic
1.2.1 Acquisition Lifecycle
The defense acquisition system exists to manage the nation’s investments in
technologies, programs and product support necessary to achieve the National Security
(Brown 2010). It involves the use of systems engineering (SE) processes by government
and industry entities to provide a framework and methodology to plan, manage, and
implement technical activities throughout the acquisition life cycle (DAU 2013, SMC 2010;
USAF 2011; OSD 2015; MSFC 2012). Redshaw (2009) explains that the acquisition
system evolved from system engineering approaches because programs for developing
complex systems exhibit the same features that formalized the systems engineering
process (Redshaw 2009). The evolution of the system engineering process for defense
acquisition is shown in Figure 1-1. The major teams involved in the model are the decision
authority, the development/design & engineering (system integrator) and specialty
engineering (technologist).
4
In the pre-2003 model, the system engineering process only manages the tasks of
the system integrator and does not consider the decision authority and the technologist
(Redshaw 2009). There are two disadvantages of this model. First, the design engineer
was not involved in the definition of requirements and programs were already flawed from
the beginning. Nicolai explains
“ Even when the customer tries very hard to generate a credible set of requirements. Sometimes they are flawed. History is filled with flawed requirements. Some flawed requirements are discovered and changed, some flawed requirements prevail and designs are produced and some flawed requirements are ignored (this one is always risky).”
Second, the verification loop did not place emphasis on the role of test planning, testing
and evaluation of results as major parts of the product development lifecycle (Redshaw,
2009). These flaws speak to the need for collaboration between the decision maker,
synthesis specialist and the technologists. The steps of the 2009 model are
Stakeholder requirements definition – “establishes a firm baseline for system
requirements and constraints…, thus defining project scope”.
Requirements analysis – “examine user’s needs against available technologies,
design considerations, and external interfaces to begin translating operational
requirements into technical specifications”.
Architecture design – develop a “functional architecture to achieve required
capabilities across scenarios from the operational concept; developing a physical
architecture, internal interfaces, and integration plan, synthesizing alternative
combinations of system components; and selecting the optimal design that
satisfies and balances all requirements and constraints”.
Stake holder requirements definition is a shared responsibility between the decision maker
and the system integrator while architecture design allows for the involvement of
5
technologists. In addition, implementation, integration, verification, validation and transition
are explicitly mentioned in the model.
Figure 1-1 Defense Acquisition Systems Engineering Lifecycle (Redshaw 2009)
1.2.2 Acquisition and Conceptual Design
The 2009 acquisition system correlates with the aircraft product development
lifecycle. The aircraft design lifecycle is shown in Figure 1-2. The requirements analysis
phase corresponds to the mission definition where requirements are translated into the
definition of the system. Architecture design corresponds to the three aircraft design
phases, conceptual design (CD), Preliminary Design (PD) and Detail Design (DD). The
implementation step corresponds with flight test, Certification and Manufacturing. The
conceptual design phase determines the feasibility of meeting requirements with a credible
aircraft design (Nicolai, 2010). The CD phase is critical in design because there is most
freedom to change the design without incurring a lot of cost, see Figure 1-2. One of the
key characteristics of the conceptual design phase is synthesis. Synthesis is concerned
with the systematic generation of alternatives in order to create new designs or improve
existing ones (Kusiak, 1995). A wealth of synthesis systems has been developed over the
last 50 years. Table 1 shows an updated comprehensive list of synthesis systems that have
Stakeholder Requirements
Definition
Requirements Analysis
Architecture Design
Requirements
Development
Logical Analysis
Design Solution
Requirements
Analysis
Functional
Analysis &
Allocation
Synthesis
Implementation, Integration, Verification, Validation, Transition
Sp
ecia
lty
En
gin
eerin
g
De
ve
lop
me
nt/
De
sig
n &
En
gin
eerin
g
De
cis
ion
Au
tho
rity
Pre-2003 Policy
Requirements
Generation System
2003 Policy/JCIDS
2004 Baseline DAG
2008 Policy
2009 Interim DAG Required Capabilities
Concept of Operations
Support Concept
Baseline Agreements
Technologies
Design Considerations
Constraints
System Specification
External Interfaces
Functional Baseline
Functional Architecture
Item Specifications
Allocation Baseline
Physical Architecture
Internal Interfaces
Integration Plan
Technical Planning, Decision Analysis, Technical Assessment, Risk Management,
Requirements Management, Configuration/Interface Management
Verification Loop
System Analysis &
Control
Component Design
Software Design
Initial Product Baseline
6
been developed to aid in aircraft design as compiled by (Chudoba, 2001; Huang, 2006;
Coleman, 2010).
Figure 1-2 Design Lifecycle Phase (Omoragbon, 2008)
Table 1-1 Aircraft Synthesis Systems (Chudoba, 2001; Huang, 2006; Coleman, 2010)
Acronym Full Name Developer Primary Application
Years
AAA Advanced Airplane Analysis DARcorporation Aircraft 1991-
ACAD Advanced Computer Aided Design General Dynamics, Fort Worth
Aircraft 1993
ACAS Advanced Counter Air Systems US Army Aviation Systems Command
Air fighter 1987
ACDC Aircraft Configuration Design Code Boeing Defense and Space Group
Helicopter 1988-
ACDS Parametric Preliminary Design System for Aircraft and Spacecraft Configuration
Northwestern Polytechnical University
Aircraft and AeroSpace Vehicle
1991-
ACES Aircraft Configuration Expert System Aeritalia Aircraft 1989-
ACSYNT AirCraft SYNThesis NASA Aircraft 1987-
ADAM (-) McDonnell Douglas Aircraft
ADAS Aircraft Design and Analysis System Delft University of Technology
Aircraft 1988-
ADROIT Aircraft Design by Regulation Of Independent Tasks
Cranfield University Aircraft
ADST Adaptable Design Synthesis Tool General Dynamics/Fort Worth Division
Aircraft 1990
AGARD 1994
AIDA Artificial Intelligence Supported Design of Aircraft
Delft University of Technology
Aircraft 1999
AircraftDesign (-) University of Osaka Prefecture
Aircraft 1990
APFEL (-) IABG Aircraft 1979
Aprog Auslegungs Programm Dornier Luftfahrt Aircraft
ASAP Aircraft Synthesis and Analysis Program
Vought Aeronautics Company
Fighter Aircraft 1974
Conceptual
Design
Preliminary
Design
Detail
Design
Flight Test,
Certification,
Manufacturing
Operations
Incident/
Accident
Investigation
Mission
Definition
Specification
of Desired:
Range
Payload
Flight rate
...
Identification
and Evaluation
of Design
Alternatives
Detailed Analysis
of Promising
Concepts
Development of
Requirements
for Tooling and
Manufacturing
Demonstration of
Airworthiness and
Performance and
Production of Fleet
Life Cycle
Normal
Operation and
Maintenance of
Fleet
CD PD DD FT,C,M O I, AI
Investigation and
recording of
accidents and
interventions
7
ASCENT (-) Lockheed Martin Skunk Works
AeroSpace Vehicle
1993
ASSET Advanced Systems Synthesis and Evaluation Technique
Lockheed California Company
Aircraft Before 1993
Altman Design Methodology for Low Speed High Altitude UAV's
Cranfield University Unmanned Aerial Vehicles
Paper 1998
AVID Aerospace Vehicle Interactive Design N.C. State University, NASA LaRC
Aircraft and AeroSpace Vehicle
1992
AVSYN ? Ryan Teledyne ? 1974
BEAM (-) Boeing ? NA
CAAD Computer-Aided Aircraft Design SkyTech High-Altitude Composite Aircraft
NA
CAAD Computer-Aided Aircraft Design Lockheed-Georgia Company Aircraft 1968
CACTUS (-) Israel Aircraft Industries Aircraft NA
CADE Conceptual Aircraft Design Environment
McDonnel Douglas Corporation
Fighter Aircraft (F-15)
1974
CAP Configuration Analysis Program North American Rockwell (B-1 Division)
Aircraft 1974
CAPDA Computer Aided Preliminary Design of Aircraft
Technical University Berlin Transonic Transport Aircraft
1984-
CAPS Computer Aided Project Studies BAC Military Aircraft Devision
Military Aircraft 1968
CASP Combat Aircraft Synthesis Program Northrop Corporation Combat Aircraft 1980
CASDAT Conceptual Aerospace Systems Design and Analysis Toolkit
Georgia Institute of Technology
Conceptual Aerospace Systems
late 1995
CASTOR Commuter Aircraft Synthesis and Trajectory Optimization Routine
Loughborough University Transonic Transport Aircraft
1986
CDS Configuration Development System Rockwell International Aircraft and AeroSpace Vehicle
1976
CISE (-) Grumman Aerospace Corporation
AeroSpace Vehicle
1994
COMBAT (-) Cranfield University Combat Aircraft
CONSIZ CONfiguration SIZing NASA Langley Research Center
AeroSpace Vehicle
1993
CPDS Computerized Preliminary Design System
The Boeing Company Transonic Transport Aircraft
1972
Crispin Aircraft sizing methodology Loftin Aircraft sizing methodology
1980
DesignSheet (-) Rockwell international Aircraft and AeroSpace Vehicle
1992
DRAPO Définition et Réalisation d'Avions Par Ordinateur
Avions Marcel Dassault/Bréguet Aviation
Aircraft 1968
DSP Decision Support Problem University of Houston Aircraft 1987
EASIE Environment for Application Software Integration and Execution
NASA Langley Research Center
Aircraft and AeroSpace Vehicle
1992
EADS
ESCAPE (-) BAC (Commercial Aircraft Devision)
Aircraft 1995
ESP Engineer's Scratch Pad Lockheed Advanced Development Co.
Aircraft 1992
Expert Executive (-) The Boeing Company ?
FASTER Flexible Aircraft Scaling To Requirements
Florian Schieck
FASTPASS Flexible Analysis for Synthesis, Trajectory, and Performance for Advanced Space Systems
Lockheed Martin Astronautics
AeroSpace Vehicle
1996
FLOPS FLight OPtimization System NASA Langley Research Center
? 1980s-
8
FPDB & AS Future Projects Data Banks & Application Systems
Airbus Industrie Transonic Transport Aircraft
1995
FPDS Future Projects Design System Hawker Siddeley Aviation Ltd
Aircraft 1970
FRICTION Skin friction and form drag code 1990
FVE Flugzeug VorEntwurf Stemme GmbH & Co. KG GA Aircraft 1996
GASP General Aviation Synthesis Program NASA Ames Research Center
GA Aircraft 1978
GPAD Graphics Program For Aircraft Design Lockheed-Georgia Company Aircraft 1975
HACDM Hypersonic Aircraft Conceptual Design Methodology
Turin Polytechnic Hypersonic aircraft
1994
HADO Hypersonic Aircraft Design Optimization Astrox ? 1987-
HASA Hypersonic Aerospace Sizing Analysis NASA Lewis Research Center
AeroSpace Vehicle
1985, 1990
HAVDAC Hypersonic Astrox Vehicle Design and Analysis Code
Astrox 1987-
HCDV Hypersonic Conceptual Vehicle Design NASA Ames Research Center
Hypersonic Vehicles
HESCOMP HElicopter Sizing and Performance COMputer Program
Boeing Vertol Company Helicopter 1973
HiSAIR/Pathfinder High Speed Airframe Integration Research
Lockheed Engineering and Sciences Co.
Supersonic Commercial Transport Aircraft
1992
Holist ? ?
Hypersonic Vehicles with Airbreathing Propulsion
1992
ICAD Interactive Computerized Aircraft Design
USAF-ASD ? 1974
ICADS Interactive Computerized Aircraft Design System
Delft University of Technology
Aircraft 1996
IDAS Integrated Design and Analysis System Rockwell International Corporation
Fighter Aircraft 1986
IDEAS Integrated DEsign Analysis System Grumman Aerospace Corporation
Aircraft 1967
IKADE Intelligent Knowledge Assisted Design Environment
Cranfield University Aircraft 1992
IMAGE Intelligent Multi-Disciplinary Aircraft Generation Environment
Georgia Tech
Supersonic Commercial Transport Aircraft
1998
IPAD Integrated Programs for Aerospace-Vehicle Design
NASA Langley Research Center
AeroSpace Vehicle
1972-1980
IPPD Integrated Product and Process Design Georgia Tech Aircraft, weapon system
1995
JET-UAV CONCEPTUAL DEISGN CODE
Northwestern Polytechnical University, China
Medium range JET-UAV
2000
LAGRANGE Optimization 1993
LIDRAG Span efficiency 1990
LOVELL 1970-1980
MAVRIS an analysis-based environment Georgia Institue of Technology
2000
MELLER Daimler-Benz Aerospace Airbus
Civil aviation industry
1998
MacAirplane (-) Notre Dame University Aircraft 1987
MIDAS Multi-Disciplinary Integrated Design Analysis & Sizing
DaimlerChrysler Military Aircraft 1996
MIDAS Multi-Disciplinary Integration of Deutsche Airbus Specialists
DaimlerChrysler Aerospace Airbus
Supersonic Commercial Transport Aircraft
1996
MVA Multi-Variate Analysis RAE (BAC) Aircraft 1991
MVO MultiVariate Optimisation RAE Farnborough Aircraft 1973
9
NEURAL NETWORK
FORMULATION Optimization method for Aircrat Design
Georgia Institute of Technology
Aircraft 1998
ODIN Optimal Design INtegration System NASA Langley Research Center
AeroSpace Vehicle
1974
ONERA Preliminary Design of Civil Transport Aircraft
Office National d’Etudes et de Recherches Aérospatiales
Subsonic Transport Aircraft
1989
OPDOT Optimal Preliminary Design Of Transports
NASA Langley Research Center
Transonic Transport Aircraft
1970-1980
PACELAB knowledge based software solutions PACE Aircraft 2000
Paper Airplane (-) MIT Aircraft
PASS Program for Aircraft Synthesis Studies Stanford University Aircraft 1988
PATHFINDER Lockheed Engineering and Sciences Co.
Supersonic Commercial Transport Aircraft
1992
PIANO Project Interactive ANalysis and Optimisation
Lissys Limited Transonic Transport Aircraft
1980-
POP Parametrisches Optimierungs-Programm
Daimler-Benz Aerospace Airbus
Transonic Transport Aircraft
2000
PrADO Preliminary Aircraft Design and Optimisation
Technical University Braunschweig
Aircraft and AeroSpace Vehicle
1986-
PreSST Preliminary SuperSonic Transport Synthesis and Optimisation
DRA UK
Supersonic Commercial Transport Aircraft
PROFET (-) IABG Missile 1979
RAE Artificial Intelligence Supported Design of Aircraft
Royal Aircraft Establishment, Farnborough
Aircraft conceptual design
Early1970’s.
RAM NASA geometric modeling tool
1991
RCD Rapid Conceptual Design Lockheed Martin Skunk Works
AeroSpace Vehicle
RDS (-) Conceptual Research Corporation
Aircraft 1992
RECIPE (-) ? ? 1999
RSM Response Surface Methodology 1998
Rubber Airplane (-) MIT Aircraft 1960s-1970s
Schnieder
Siegers Numerical Synthesis Methodology for Combat Aircraft
Cranfield University combat aircraft Late 1970s
Spreadsheet Program
Spreadsheet Analysis Program Loughborough University Aircraft Design Studies
1995
SENSxx (-) DaimlerChrysler Aerospace Airbus
Transonic Transport Aircraft
SIDE System Integrated Design Environment Astrox ? 1987-
SLAM Simulated Langauge for Alternative Modeling
? ?
Slate Architect (-) SDRC (Eds) ?
SSP System Synthesis Program University of Maryland Helicopter
SSSP Space Shuttle Synthesis Program General Dynamics Corporation
AeroSpace Vehicle
SYNAC SYNthesis of AirCraft General Dynamics Aircraft 1967
TASOP Transport Aircraft Synthesis and Optimisation Program
BAe (Commercial Aircraft) LTD
Transonic Transport Aircraft
10
TIES Technology Identification, Evaluation, and Selection
Georgia Institute of Technology
1998
TRANSYN TRANsport SYNthesis NASA Ames Research Center
Transonic Transport Aircraft
1963- (25years)
TRANSYS TRANsportation SYStem DLR (Aerospace Research) AeroSpace Vehicle
1986-
TsAGI Dialog System for Preliminary Design TsAGI Transonic Transport Aircraft
1975
VASCOMPII V/STOL Aircraft Sizing and Performance Computer Program
Boeing Vertol CO. V/STOL aircraft 1980
VDEP Vehicle Design Evaluation Program NASA Langley Research Center
Transonic Transport Aircraft
VDI
Vehicles (-) Aerospace Corporation Space Systems 1988
VizCraft (-) Virginia Tech
Supersonic Commercial Transport Aircraft
1999
Voit-Nitschmann
WIPAR Waverider Interactive Parameter Adjustment Routine
DLR Braunschweig AeroSpace Vehicle (Waverider)
X-Pert (-) Delft University of Technology
Aircraft Paper 1992
1.2.3 Problems in Conceptual Design Relating to Acquisition
The introduction of stakeholder requirements definition as a responsibility for the
conceptual designer presents new challenges for the current aerospace synthesis
systems. First, typical conceptual design tools and methodologies are not designed to
provide the information required for requirements definition. Figure 1-3 shows a review of
selected methodologies. They each have elements for designing, building and integration
architectures for analysis; however, none of them prescribe a methodology for stakeholder
requirements definition. Second, requirements definition typically requires analysis of a
broad range of alternatives (DAU 2013). However, most synthesis systems have a narrow
range of alternatives that can be analyzed. This is because most of those decisions have
already been made before the synthesis step. Finally, conceptual design methodologies
need to be rapid turn-around at giving solutions to the decision makers in order to avoid
incorrect assumptions and decision-making during the early project phase.
11
Figure 1-3 Review of Aircraft Synthesis Systems
1.2.4 Stakeholder Requirement Definition Solutions
Methodologies exist to provide the capability to evaluate technologies for defense
acquisition. Azizan does a comprehensive review of the assessment approaches available
and categorizes them into qualitative, quantitative and automated techniques. The
qualitative techniques involve use of perceived maturity levels of technology the most
common of which is Technology Readiness Level (Azzizan, 2009; Cornford, 2004; Nolte,
2004; Bilbro, 2009; Dubos, 2007; Mankins, 2007; Mankins, 2002; Ramirez-Marquez, 2009;
Smith, 2009). TRL uses a 9 level scale to present the state of technology as scene in Figure
1-4. The biggest drawback of the TRL measure is that it accounts only for the maturity of
individual technologies, however it doesn’t capture the complexity of packaging those
technologies together as would be for aerospace vehicles. Other Maturity scales have been
created to capture more information than TRL and they include Manufacturing readiness
level (Cundiff, 2003), Integration readiness level (Gove, 2007), TRL for non-system
technologies (Graettinger, 2002), TRL for Software (DOD, 2005), Technology Transfer
Stakeholder Requirements Definition
Requirements Analysis
Design
Build
Integrate
Execute
Stakeholder Requirements Definition
Requirements Analysis
Design
Build
Integrate
Execute
De
cisi
on
Mak
er
Syn
the
sis
Spe
cial
ist
De
cisi
on
Mak
er
Syn
the
sis
Spe
cial
ist
Wood Corning Nicolai Loftin Torenbeek Stinton Roskam
AAA PrADO VDK ACES ACSYNT ASAP FLOPS
Raymer
AVDS
Jenkinson Howe Shaufele
ASTOS V8 HAVDACROSETTA
BY-HAND AEROSPACE SYNTHESIS SYSTEMS
COMPUTER BASED AEROSPACE SYNTHESIS SYSTEMS
Static Input Methodological Input TBD
12
Level Readiness Level (Holt, 2007), Missile Defense Agency checklist (Mahafza, 2005),
Moorhouses Risk Versus TRL Metric (Moorehouse, 2002), Advancement Degree of
Difficulty (AD2) (Bilbro, 2007) and Research and Development Degree of Difficulty (RD3).
Qualitative techniques have the advantages of being quick and easily updatable; however,
they are based on subjective knowledge and do not have a means to consider uncertainties
in the knowledge.
Figure 1-4 NASA/DOD Technology Readiness Level Descriptions (NASA)
Quantitative techniques are prescribed mathematical models for translating
qualitative metrics into numerical data that gives more insight into the maturity of the
technologies. for example, System Readiness Level developed by Sauser uses matrix
manipulations to combine individual subsystem TRLs and IRLs based on the interactions
with one another to describe the maturity of the subsystem technologies as a result of them
combining them into a single system (Saucer 2006, 2007, 2008). Other quantitative
13
techniques include SRL Max (Ramirez-Marquez 2009) Technology Readiness and Risk
Assessment (TRRA) (Mankins 2007), Integrated Technology Analysis Methodology (ITAM)
(Mankins 2002), TRL for Non Developmental Item (NDI) Software, Technology insertion
(TI) Metric (Dowling and Pardo 2005) and TRL Schedule Risk Curve (Dubos et al 2007).
The quantitative techniques are very useful in giving a decision maker analytic data for fact
based decision making; however, they can be difficult to understand and cause information
overload if used improperly.
Automated techniques use spreadsheets or calculators to evaluate the maturity of
technologies. They reduce subjective bias by converting the evaluation into smaller
questions and surveys that are converted into analysis data. They include TRL calculator
(Nolte 2004), MRL Calculator, Technology Program Management Model (TPMM) (SMDTC
2006) and UK MoD System Readiness Level.
The biggest drawback of these acquisition tools is that they do not prescribe a
means of including vehicle mission performance information. Vehicle performance
information is generally a result of sizing and synthesis. Secondly, they do not account for
the supply chain problem and do not include metrics determined from business process
analyses.
1.3 Research Scope and Objectives
The breath of the problems in the Aerospace & Defense industry are broad,
covering acquisition lifecycle simulation, conceptual design and business processes. This
writing, will not attempt to solve all these problems; instead this discussion will answer the
following research questions:
[RQ1] What data relationships are required to connect existing conceptual design
synthesis with acquisition assessment?
14
[RQ2] What are the building blocks required to make conceptual design tools
adaptable to solve emerging aerospace problems in the new acquisition
assessment environment?
[RQ3] How can the methodology that bridges the gap between acquisition and design
decision making be used?
1.4 Research Approach and Dissertation Outline
The framework for solving the acquisition problem was too large to be solved by a
single PhD; therefore, a research endeavor has been taken in conjunction with two other
PhD candidates: Lex Gonzalez and Amit Oza. The unique contribution to this effort by
Amen Omoragbon has been to define the building blocks for the solution architecture, while
Gonzalez (2016) has been tasked to design the software interfaces for the composable
architecture to tailoring tools to problems, and Oza (2016) prescribed the proper utilization
of the system to solve relevant acquisition problems.
In this research thesis, Chapter 1 discusses the motivation of the research which
is the need to improve technology acquisition decision-making from an aerospace
conceptual designer view point. Chapter 2 explores available aerospace synthesis
literature evaluating them in terms of technology adaptability, analysis capability and
data/knowledge management. The result being a specification for a decomposition
methodology for an aerospace decision support system. Chapter 3 describes the Complex
Multidisciplinary System (CMDS) decomposition concept for bridging the gap between
aerospace technology acquisition and aerospace vehicle conceptual design. This
decomposition concept is the original contribution to aerospace science and engineering,
in particular the engineering decision support system developed in collaboration with
Gonzalez and Oza in the ASE Laboratory. Chapter 4 discusses the software
implementation of the CMDS decomposition concept. Chapter 5 discusses the application
15
of the CMDS decomposition concept to a relevant acquisition and conceptual design
problem posed by United State Air Force Research Laboratory. Finally, Chapter 6
summarizes the original contribution of this research effort to aerospace science and gives
an outlook for future work.
16
Chapter 2
COMPLEX SYSTEMS, AIRCRAFT SYNTHESIS AND PORTFOLIO MANAGEMENT
Chapter 1 discussed the need for establishing the data relationships between
aircraft conceptual design and acquisition lifecycle assessment. These data relationships
are key in decreasing cost and schedule overruns in the acquisition lifecycle. This chapter
sets the framework of the solution concept by representing aerospace vehicles as complex
systems that require multidisciplinary synthesis for their design. The Innovation Portfolio is
then introduced as the link between acquisition and conceptual design. This information
will be used to construct the solution concept methodology in Chapter 3. The review
includes a survey of complex multidisciplinary systems, synthesis tools and innovation
portfolios.
2.1 Complex Systems and Complex Multidisciplinary Systems
The term ‘system’ has a broad meaning. Kline (1995) gives three definitions of a
‘system’. First, a system is the object of study, what we want to discuss, define, think about,
write about, and so forth. This means that a system is anything that we care about.
Secondly, a system is a picture, equation, mental image, conceptual model, word
description, etc., which represents the entity we want to discuss, analyze, think about, write
about. This implies that a representation of a system is a system in itself. Thirdly, a system
is an integrated entity of heterogeneous parts which acts in a coordinated way. This
definition gives the idea that a system comprises unique parts that perform actions. In
addition, it allows the introduction of the concept of system complexity.
2.1.1 Complex Systems
A complex system is defined as one that requires a lot of information in order to
describe it. Bar-Yam (1997) characterizes complexity of system elements, their number,
17
the interactions, their strength, formation/operation and their time scales,
diversity/variability, environment and its demands, activities and their objectives. Table 2-1
Boulding (1956) gives a hierarchy of system complexity based on the prevailing scientific
understanding. This shows that system complexity changes with types of disciplines
considered in the representation of the system. It also speaks to the multidisciplinary nature
of complex systems. A simple system can be made complex if it is to be studied by taking
multiple disciplinary points of view into account as shown in Figure 2-1. Complex systems
retain definitions across philosophy, theory and application as show in Table 2-1. Shashank
(2010) summarizes the measures of complexity as:
Level of Abstraction: Complexity measured through “… the visualization of system
at different levels of detail …” such as system level (e.g. vehicle as a whole),
subsystem level (e.g. wing), component level (e.g. wing spars) as shown in Figure
2-2.
Type of representation – Complexity resulting from how the system is modeled at
each level of abstraction.
Size – Complexity based on the number of components and interactions within the
system.
Heterogeneity – Complexity based on the number of unique components and
interactions. This is similar to the size measure. However, it takes into account the
fact that the system with repeating components and interactions can be simplified.
Coupling – Complexity based on the types of interactions between the
components. There can be direct coupling, where the components are physically
connected, or indirect coupling, where one component affects another without a
physical link.
18
Modularity – Complexity due to a group of components coupled together in order
to provide a function.
Uncertainty – Complexity due to the potential of a system to exhibit unexpected
behavior.
Dynamics – Complexity due to the variation of system behavior over time.
Off-Design interactions – Complexity due to the system operating outside its
design range.
Figure 2-1 Views of complexity (Bar-Yam, 1997) (a) Simple system made complex by
number of disciplines studied (b) Complexity due to multidisciplinary interactions
19
Table 2-1 Hierarchy Complexity (Boulding 1977)
Level Characteristics Examples Relevant Discipline
1. Structure Static Crystals Any
2. Clock-works Pre-Determined motion
Machines, the solar system
Physics, Chemistry
3. Control Mechanism
Closed-loop control Thermostats, mechanisms in organisms
Cybernetics, Control Theory
4. Open Systems
Structurally Self maintaining
Flames, biological cells
Information Theory, Biology (metabolism)
5. Lower Organisms
Organized whole functional parts, growth, reproduction
Plants Botany
6. Animals A brain to guide total behavior ability to learn
Birds and Beasts Zoology
7. Humans Self-consciousness, knowledge symbolic language
Humans Psychology, Human Biology
8. Socio-cultural systems
Roles communication, transmission of values
Families, clubs, organizations, nations
Sociology, Anthropology
9. Transcendental systems
Inescapable unknowables
God Metaphysics, Theology
Figure 2-2 System Architecture Specification Concepts (Shashank , 2010)
20
Ryan has shown that Complex Systems can be used to answer a broad range of
problems if a multidisciplinary approach is used to their design. He remarks that “… of all
the systems approaches, complex systems are the most tightly integrated with the natural
sciences, due to an emphasis on explaining mechanism in natural systems …” Therefore,
the representation of objects of study as complex systems gives the most suitable starting
point for analysis. In the context of this research, the term complex multidisciplinary system
(CMDS) is used. This is because the goal is to build a methodology for assessing the risk
and value of emerging aerospace technology from an acquisition and conceptual design
point of view. These systems are complex because of their limited understanding and
numerous highly integrated parts. The word ‘multidisciplinary’ has been added to Complex
Systems in order to emphasize that they need to be studied from more than a single-
discipline perspective.
2.1.2 Aerospace Vehicles as Complex Multidisciplinary Systems
Aerospace Vehicles are can be represented as complex systems. They have
multiple levels of abstraction, various types of representation, a large number of unique
parts and interactions and experience changing dynamic behavior as they operate within
and outside their design conditions. There are numerous classification scales for
aerospace vehicles. These scales include the mission objectives scale, the investment
sector scale, the reusability scale, the staging concept scale, the trajectory segment scale,
and the aerothermodynamics scale among others. Figure 2-3 shows a spectrum of these
cascading scales and sub-levels, and further options for consideration vehicle acquisition
during the conceptual design of aerospace vehicles. As shown on the left side of the figure,
the possible permutations of acquisition and design options rise exponentially. This multi-
disciplinary phenomenon requires management of the inherent complexity accordingly.
21
Figure 2-3 Complexity of Aerospace Vehicles Based
Complexity also tends to increase as the vehicle design speed increases. As a
consequence, high speed vehicles are placing highest demands on the vehicle
technologies and their respective interdisciplinary couplings. This results in vehicles that
are more integrated. Figure 2-4 shows the confluence of vehicle geometry and
technologies as the design cruise Mach number increases. High speed missions also
introduce new disciplinary considerations, such as aerothermodynamics which are not
major concerns at slow speeds. Hirschel (2008) classifies hypersonic vehicles based on
the aerothermodynamics environment they experience throughout their design missions
as shown in Figure 2-5. The vehicles classes are Reentry Vehicle (RV), Cruise and
Acceleration Vehicle (CAV), Ascent and Reentry Vehicle (ARV) and Aeroassisted Orbital
Transfer Vehicle (AOTV). RVs are vehicles which do not cruise or accelerate in a
hypersonic environment; however, they decelerate from very high velocities. CAVs cruise
`
Total
Options
Level
Options
4
12
24
48
144
4
3
2
2
3
Mis
sio
n F
ore
ca
sti
ng
Mission Options
331,7763
1,990,6566
Reusability
Reusable Expendable
UnmannedManned
Human Rating
Staging Concept
MultiTwoSingle
Forecast Components
Data-Base
Knowledge-Base
Parametric Process
Aerodynamics
Propulsion
Structures
Configuration
Performance
Etc...
TechnologyEnvironmentPoliticalSocialEconomicMarket
Environmental Forces
Mission & System Implementation Spectrum
Point-to-Point EscapeOrbitalSub-Orbital
Mission Objective
ResearchCommercialMilitary
Investment Sector
Trajectory Segment
Orbit
Mis
sio
n D
efi
nit
ion
De
cis
ion
Se
qu
en
ce
110,592768
Take-Off
Air-LaunchVerticalHorizontal
Ascent / Climb
Lifting Non-Lifting
Cruise
V=0 ALT=0
Orbital Transfer
Propulsive Aerodynamic
Descent / Reentry
Lifting Non-Lifting
Approach / Landing
BallisticVerticalHorizontal Air-SnatchParabolicEllipticCircular Hyperbolic
22
or accelerate in a hypersonic environment; however, they do not reach very high
hypersonic velocities. ARVs accelerate to and decelerate from high hypersonic velocities.
AOTVs are in-space vehicles which briefly enter the atmosphere to change orbit. Each
vehicle class is configured and optimized to maximize performance in their hypersonic
environments. Their design missions have to be well optimized. Most noticeably, lifting or
non-lifting flight paths are selected in order to create high or low drag conditions dependent
on desired cross-range and down-range requirements. In summary, the complexities of
aerospace vehicles need to be managed early in the design process and this burden clearly
falls on the designer and the synthesis specialists modeling the total system.
Figure 2-4 Confluence Diagram
23
Figure 2-5: Aerothermodynamics Environment of Hypersonic Vehicles (Hirschel, 2008)
2.2 Review of Aerospace Vehicle Synthesis Systems
2.2.1 Aerospace Vehicle Design Synthesis Systems
Design synthesis involves the generation of one of more design solutions
consistent with the requirements defined during the formulation of the design problem and
any additional requirements identified during synthesis (Krishnamoorthy, 2000). Chudoba
(2001), Huang (2006), Colman (2010) and Gonzalez (2016) review the state of the art in
aerospace synthesis systems. Chudoba (2001), provides an assessment of aircraft
synthesis systems, detailing specifically the change in modeling complexity as a function
of time. He explains, “… The classification scheme selected distinguishes the multitude of
vehicle analysis and synthesis approaches according to their modeling complexity, thereby
expressing their limitations and potential. …” Table 2-2 shows the characteristics of the five
different classes of flight vehicle synthesis. The classes measure the chronological
24
implementation and integration of design knowledge with computer automation in
aerospace design. Chudoba postulates that Class V synthesis capability with emphasis on
the integration of multi-disciplinary effects, and the use of dedicated methods libraries as
a necessity to keep up with ever changing acquisition demands and emerging technology
advancements. The characteristics of this generation of synthesis systems include Generic
& Physical Methods, Life-Cycle Synthesis, Knowledgebase System, Multidisciplinary
Optimization, Multi-Fidelity, Design Skill, Methods Library, Integrated People Management
Process.
Table 2-2 Classification of aerospace design synthesis approaches (Chudoba 2001)
The result of this review and subsequent classification scheme has been the
specification of the ‘Class V – Generic Synthesis Capability’. This breakdown places
emphasis on the integration of multi-disciplinary effects, and the use of dedicated methods
libraries. It is important to note that Chudoba defines Class V Synthesis as a design
process NOT a design tool. This implies that more emphasis should be placed on
developing the capability of a synthesis system and holistic perspective for involving the
design team as opposed to the implementation of the tool itself. Chudoba specifies the
attributes of a Class V system as follows: Generic & Physical Methods, Life-Cycle
Synthesis, Knowledgebase System, Multidisciplinary Optimization, Multi-Fidelity, Design
Skill, Methods Library, Integrated People Management Process.
25
Huang (2006) assesses 115 aerospace synthesis systems meant for the design of
aircraft, helicopters, missiles and launch vehicles. He evaluates a cross-section of the year
2004 state-of-the-art synthesis systems through a systematic evaluation process, providing
an overview of each system with detail about its applicability towards the Space Access
Problem as shown in Figure 2-6. Huang categorized each system according to its ability to
perform the following: Mathematical Modelling, Multidisciplinary Analysis and Optimization,
Knowledge-Based System, and Generic Concepts. The result showed a discrepancy in the
ability of the then state of the art, circa 2004, to adequately address the Space Access
Vehicle (SAV) problem in the early stages of conceptual design. This led him to the
following specifications for a synthesis system for SAV, see Figure 2-7. Of note in Figure
2-7 is the inclusion of a ‘Database Management System’. This addition to the ‘Class V
Synthesis’ specification reveals the necessity of the system to not only connect design
parametric data but to also to ‘control utilization of the design methods library’.
Figure 2-6 Evaluation Process of Design Synthesis Systems (Huang 2006)
26
.
Figure 2-7 Specification Synthesis System AVDS-SAV (Huang 2006)
Coleman (2010) investigates synthesis systems applicable to the early conceptual
design for both, conventional and novel vehicle configurations. Coleman shows that,
although parametric sizing is the most critical step during the conceptual design phase, it
“… has stagnated or has been ignored in the current literature …” He then introduces a
specification advancing the state of the art in parametric sizing of aerospace vehicles: (1)
Development of a conceptual design process library, (2) Development of a conceptual
design parametric sizing methods library, (3) Development of an integrated and flexible
parametric sizing program based on the process and methods library. For Coleman,
27
separation of the analysis processes from disciplinary methods is instrumental in his
development of the Aerospace Vehicle Design System, a state-of-the-art generic aircraft
parametric sizing methodology and tool.
The analytic process describes the major steps taken by the synthesis system.
The process library assembled by Coleman documents the processes implemented in
existing synthesis systems using Nassi-Schniederman (NS) process diagrams and
process cards. The NS diagrams visualize input, analysis, output and iteration steps for
the process using color coding to show the applicability of the steps to parametric sizing,
see Figure 2-8. The process card provides a written overview, application, and
iinterpretation of the process as shown in Figure 2-9. The overview section contains
indexing information including authors, publication date (both current and initial), and
published references. The application of the process section provides context towards
when and where the implementation should be used. The last section, interpretation’,
discusses how well the process answers the problem it was intended to solve.
Figure 2-8 Nassi-Schneiderman diagram for the Loftin design process (Coleman 2010)
Loftin Design Process
Calculate performance constraints: W/S and T/W
Mission requirements, design trades, mission profile
Take-off Field Length: T/W=f(W/S)
Landing field length and aborted landing: W/S
2nd Segment climb gradient: T/W
Cruise: T/W=f(W/S)
Construct performance matching diagram: based on performance constrains. Select match point, T/W and W/S
Compute Wto, Wf/Wto,
Compute T, S, and fuselage size
Construct performance map
Initial concept research
Define geometry trade studies, AR, LLE, Propulsion system
Climb performance: T/W=f(W/S)
Parametric sizing
Conceptual design evaluation
Configuration component design
Key
28
Figure 2-9 Example Process overview card (Coleman 2010)
Methods describe the application of disciplinary principles or empirical data to
determine effects in the analysis. The ‘Methods Library’ consists of disciplinary methods
accumulated intoa compendium as either parts of a synthesis system, or as standalone
analytic methods library. Each entry in the library is represented in a card detailing
Processes Overview
Design Phases
Conceptual Design
Author
Loftin
Initial Publication Date
1980
Latest Publication Date
1980
Reference: Loftin, L., “Subsonic Aircraft: Evolution and the Matching of Sizing to Performance,” NASA RP1060, 1980
Application of Processes
Applicability
Primarily focused on parametric sizing of jet powered transports and piston powered general aviation aircraft
Objective of Processes
Determine an approximate size and weight the aircraft to complete the mission from a 1st level
approximation of the design solution space
Initial Start Point
The processes begins with mission specification, possible configurations and fixed design variables such as AR.
Description of basic execution
From the mission specification statistics and basic performance relationships are used to determine relationships between T/W and W/S (Performance matching). The aircraft is then sized around this match point
Interpretation
CD steps
Parametric Sizing
Synthesis Ladder
Analysis
Integrate
Iteration of design
Visualize design space
Similar Procedures
Roskam (preliminary sizing)
Torenbeek (Cat 1 methods)
General Comments:
One of the first published processes utilizing performance matching
Where Nicolai compares T/W and W/S after the complete convergence and interaction of the processes, Loftin derives basic relationships between T/W up front to visualize the solution space before intial sizing.
Loftin essential short cuts the Nicolai approach to derive an initial design space rather than an initial configuration.
29
assumptions, applicability, basic procedure, and experience. The accumulated disciplinary
methods library allows for the documentation and storage of design experience/knowledge
in a centralized location. This results in the ability of the designer to choose which method
is best suited for the given problem.
Figure 2-10 Example Methods overview card (Coleman 2010)
Method Overview
Discipline
Aerodynamics
Design Phase
Parametric Sizing
Method Title
Initial Drag polar estimation
Categorization
Semi-Empirical
Author
Roskam
Reference: Roskam, J., “Airplane Design Part I: Preliminary Sizing of Airplanes,” DARcorporation, Lawrence, Kansas, 2003
Brief Description
The drag polar is constructed using empirical relationships for parasite drag (based on gross weight), flap and landing gear effects. A classical definition of induced drag is used.
Assumptions
Increments of flap and landing gear taken from typical values
Parasite drag coefficient is a function of take-off gross weight
Applicability
Homebuilt aircraft propeller aircraft, single engine propeller aircraft, twin engine propeller aircraft, agricultural aircraft, business jets, regional turboprop aircraft, transport jets, military trainers, fighters, military patrol, bomb and transport, flying boats, supersonic cruise aircraft
Execution of Method
Input
Mission profile, type of aircraft, take-off gross weight, AR, e, S estimate
Analysis description
Estimate Swet=f(WTO) empirical based on type of aircraft Fig 3.22
Estimate f=f(Swet) empirical based on type of aircraft Fig 3.21
Assume average value of S
Select Flap and landing gear effects for each mission segment Table 3.6
eAR
CCCSfC L
DLGDflapD
2
/
Assume CLmax values from Table 3.1
Output:
Drag Polar
Experience
Accuracy
Unknown
Time to Calculate
Unknown
General Comments
30
2.2.2 Synthesis Systems Compatibility with Acquisition Problem
In order to understand the applicability of existing synthesis systems to the
acquisition problem, a review has been conducted in conjunction with Gonzalez (2016) and
Oza (2016). The synthesis systems chosen for the review are representative ‘By-Hand
Synthesis Methodologies’ as shown in Table 2-3, and Computer-Based Methodologies’ as
shown in Table 2-4. The by-hand methodologies or handbook methods originate from
design text books, short courses to company internal methods, while the computer-based
methodologies take advantage of digital processing power.
Table 2-3 Selected By-Hand Synthesis Methodologies
Author Year Title
Corning 1979 Supersonic and Subsonic, CTOL and VTOL, Airplane Design()
Howe 2000 Aircraft Conceptual Design Synthesis()
Jenkinson 1999 Civil Aircraft Design()
Loftin 1980 Subsonic Aircraft: Evolution and the Matching of Size to Performance()
Nicolai 2010 Fundamentals of aircraft and airship design Volume 1, Aircraft design()
Raymer 1999 Aircraft Design: A Conceptual Approach()
Roskam 2004 Airplane Design, Parts I-VIII()
Schaufele 2000 The Elements of Aircraft Preliminary Design()
Stinton 1998 The Anatomy of the Airplane()
Torenbeek 1982 Synthesis of Subsonic Airplane Design()
Wood 1963 Aerospace Vehicle Design Vol. 1, Aircraft Design()
Table 2-4 Selected Computer-Based Synthesis Systems
Acronym Year Full name Developer
AAA 1991- Advanced Airplane Analysis() DARcorporation
ACSYNT 1987- AirCraft SYNThesis() NASA
AVDS 2010 Aerospace Vehicle Design System() Aerospace Vehicle Design Laboratory
CADE 1968 Computer Aided Design Evaluation McDonnell Douglas
FLOPS 1994- FLight OPtimization System() NASA Langley Research Center
Model Center 1995- Model Center Integrate - Explore - Organize() Phoenix Integration Inc
pyOPT 2012- Python-based object-oriented framework for nonlinear constrained optimization()
Royal Military College of Canada
PrADO 1986- Preliminary Aircraft Design and Optimisation() Technical University Braunschweig
31
VDK/HC 2001 VDK/Hypersonic Convergence() McDonnell Douglas, Hypertec
The synthesis methodology capability review assesses the ability of synthesis
systems to characterize, analyze, and solve classical and new/novel aerospace problems.
The assessment criteria are shown in Table 2-5. (1) Integration and connectivity is related
to ability of the system to model vehicles at the subsystem level of abstraction with
multidisciplinary considerations. (2) Interface maturity studies the ability of the synthesis
system to combine hardware pieces together and analyze multidisciplinary effects resulting
from interfacing them. (3) The scope displays the conceptual design activity and the type
of product (aerospace vehicle) to which each synthesis is applicable. (4) Influence of New
Components or Environments explores the adaptability of the synthesis systems to
emerging technologies and requirements. (5) Prioritization of Technology development
efforts shows the flexibility of the system to match changing fidelity and data requirements
during the product lifecycle. (6) Methodological problem requirement indicates if the
synthesis system provides a methodology for the problem of stakeholder requirements and
requirements analysis. The results of the survey are shown in Figure 2-11 to Figure 2-15
and Table 2-6 to Table 2-9.
Table 2-5 Literature Survey Criteria – System Capability
a Can assess each hardware technology independently
b Can assess multiple disciplinary effects for each hardware
a Can combine hardware technologies to form a vehicle
b Can combine hardware technology disciplinary effects
a Conceptual design phase applicability
b Product applicability
a Modular hardware technologies
b Modular mission types
c Modular disciplinary analysis methods
a Able to match hardware technology disciplinary models to problem requirements
b Data management capability
a Methodological problem requirements
System Capability
3. Scope of Applicability
2. Interface Maturity
1. Integration & Connectivity
4. Influence of New Components or Environment
5. Prioritization of Technology Development Efforts
6. Problem Input Characterization
32
Figure 2-11 Integration and Connectivity
Figure 2-11 shows that the by-hand methods all have the capability to analyze
individual hardware components outside of the synthesis process loop. This is because of
the freedom to use various texts/sources as the designers see fit. On the other hand,
computer systems have more integrated methodologies with prescribed order of
operations that must be followed. AVDS and VDK/HC (Czysz and Vandenkerckhove, 2001)
especially are not set up to run individual hardware performance outside of the main design
loop. Model Center (Davies, 2015)is an open platform which initially does not contain any
vehicle-specific methodology, the user has to develop a custom design framework by
integratinge user specified methods.
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Computer BasedBy-Hand
Computer Based
1.a - Can assess hardware technology independently
By-Hand
33
Figure 2-12 Interface Maturity
Figure 2-12 shows that all the by-hand and computer-based systems have the
capability to use buildup methods towards vehicle hardware. Each system represents the
vehicle as a composition of hardware pieces. All of the systems surveyed are able to
combine the effects of hardware pieces to solve for the total vehicle effect. Loftin and Wood
are unable to represent vehicle disciplinary effects as a composition of individual hardware
effects because both methodologies solely use empirical methods for disciplinary analysis.
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Computer Based
2.a - Can combine hardware technologies to form a vehicle
By-Hand
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Table 2-6 Scope of Applicability to CD Phase
Table 2-7 Scope of Applicability to Aerospace Product Types
Corning
1979
Howe
2000
Jenkinson
1999
Loftin
1980
Nicolai
2010
Raymer
2006
Roskam
1985
Schaufele
2000
Stinton
1998
Torenbeek
1982
Wood
1963
AAA
1991
ACSYNT
1987
ASAP
1974
AVDS
2010
FLOPS
1980
Model
Center
PrADO
1986
pyOPT
2012
VDK/HC
2000
Parametric Sizing Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes No No Yes Yes
Configuration Layout Yes Yes Yes No Yes Yes Yes Yes Yes Yes Yes Yes Yes No No No No No No No
Configuration Evaluation Yes Yes Yes No Yes Yes Yes Yes Yes Yes Yes Yes Yes No No Yes No Yes Yes No
N/A No No No No No No No No No No No No No No No No Yes No No No
By-Hand Computer
Corning
1979
Howe
2000
Jenkinson
1999
Loftin
1980
Nicolai
2010
Raymer
2006
Roskam
1985
Schaufele
2000
Stinton
1998
Torenbeek
1982
Wood
1963
AAA
1991
ACSYNT
1987
ASAP
1974
AVDS
2010
FLOPS
1980
Model
Center
PrADO
1986
pyOPT
2012
VDK/HC
2000
HomebuiltNo No No Yes No Yes Yes No Yes No Yes Yes No No No Yes No Yes Yes No
Single EngineNo No No Yes No Yes Yes No Yes No Yes Yes No No No Yes No Yes Yes No
Twin EngineNo No No Yes No Yes Yes No Yes No Yes Yes No No No Yes No Yes Yes No
AgriculturalNo No No Yes No Yes Yes No Yes No Yes Yes No No No Yes No Yes Yes No
Business JetYes Yes Yes Yes Yes Yes Yes Yes No Yes Yes Yes Yes No Yes Yes No Yes Yes No
Regional TBP'sYes Yes Yes Yes Yes Yes Yes Yes No Yes Yes Yes Yes No Yes Yes No Yes Yes No
Transport AircraftYes Yes Yes Yes Yes Yes Yes Yes No Yes Yes Yes Yes No Yes Yes No Yes Yes No
Mil. TrainersNo No No No No No No No No No No No No No No No No No No No
FightersNo No No No Yes Yes Yes No No No No Yes Yes Yes No Yes No No Yes No
Mil. Patrol, bombers,
transportNo No No No No No No No No No No No No No No No No No No No
Flying boats, AmphibiousNo No No No No Yes Yes No No No No Yes No No No No No No Yes No
Supersonic CruiseYes No No No Yes Yes Yes No No No Yes Yes Yes Yes Yes Yes No No Yes No
Hypersonic P2P No No No No No No No No No No No No No No Yes No No Yes No No
Launcher (Rocket)No No No No No No No No No No No No No No No No No No No Yes
Launcher (A/B)No No No No No No No No No No No No No No No No No No No Yes
ReentryNo No No No No No No No No No No No No No Yes No No No No No
In-SpaceNo No No No No No No No No No No No No No Yes No No No No No
N/ANo No No No No No No No No No No No No No No No Yes No No No
By-Hand Computer
35
Table 2-6 shows that all systems have methodologies for the parametric sizing
step of the conceptual design phase, except Model Center which is a blank canvas and
PrADO which is designed for the later conceptual design steps. Table 2-7 shows the
applicability to different aerospace vehicle missions. Most systems are suitable for
commercial transports, only VDK is applicable to launchers and no system covers the
entire mission spectrum.
Figure 2-13 Influence of New Components or Environment
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Computer Based
4.a - Modular hardware technologies
By-Hand
4.b - Modular mission types
Computer BasedBy-Hand
4.c - Modular disciplinary analysis methods
Computer BasedBy-Hand
36
Figure 2-13 shows one of the major deficiencies in the systems that have been
reviewed. Only Model Center and pyOPT have the capability to add new hardware, mission
types, and disciplinary analysis methods. The other systems require significant source
code modifications to adapt to new problems. ACSYNT is an early attempt at a ‘problem-
flexible’ system, consisting of disciplinary analysis modules created at NASA Langley
integrated through an early Model Center framework; however, it is no longer in use. AVDS,
in contrast, has the ability to integrate a stand-alone methods library into a synthesis
system. However, it has a fixed process that cannot be easily adapted as requirements
change.
Figure 2-14 Prioritization of Technology Development Efforts
Figure 2-14 shows that FLOPS, Model Center, PrADO and pyOPT allow the user
to adjust the level of disciplinary fidelity based on the given problem. This is a significant
attribute because as the problem advances to later stages in the design cycle life-cycle,
there is need to increase fidelity of the solutions in order to provide guidance to the design
team. As previously discussed, Huang emphasized the importance of a Database
Management System for Conceptual Design synthesis. Table 2-8 shows the data
management survey criterion for evaluating the synthesis systems and Table 2-9 shows
the results. Model Center meets all the requirements of a good DBMS except the
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Yes
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5.a - Able to match hardware technology disciplinary models to problem requirements
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connection to a Knowledge base system. pyOPT also has good database management
characteristics because of its object oriented programming design.
Table 2-8 Data Management Survey Criterion
Table 2-9 Data Management Capability
a
b
c
d
e
f
g
h
i
j
k
l
m
n
Provides completeness/error checks and data warnings
Easy to create, change, delete, and view projects and project data.
Accommodates all project types and project information
Supports entry of annotative comments and appending documents, images, and links for project
documentation
Data Management Criterion
Accommodates hundreds/thousands of projects
Supports data import from your existing systems and databases
Supports data export to your existing systems and databases
Supports dependency links among projects
Provides data cut-and-paste, project cloning, and data roll-over
Allows multiple portfolios and portfolio hierarchies (parent-child l inks)
Allows dynamic portfolios (portfolios defined based on latest project data)
Provides search, fi lter, and sort
Provides data archiving
Provides statistical analysis of historical data (e.g., trend analysis)
AAA
1991
ACSYNT
1987
ASAP
1974
AVDS
2010
FLOPS
1980
Model
Center
PrADO
1986
pyOPT
2012
VDK/HC
2000
a Yes Yes Yes Yes Yes Yes Yes Yes Yes
b No No No No No Yes No Yes No
c No No No No No Yes No Yes No
d Yes Yes Yes Yes Yes Yes Yes Yes Yes
e No Yes No No No Yes No Yes No
f No Yes No No No Yes No Yes No
g No No No No No Yes No No No
h No No No No No Yes No Yes No
i Yes Yes Yes No No Yes Yes Yes Yes
j No No No No No Yes No No No
k No No No No No Yes No No No
l No No No No No Yes No No No
m Yes Yes Yes Yes Yes Yes Yes Yes Yes
n No No No No No No No No No
4 of 14 6 of 14 4 of 14 3 of 14 3 of 14 13 of 14 4 of 14 9 of 14 4 of 14
38
Figure 2-15 Problem Input Characterization
Figure 2-15 shows that all of the systems reviewed do not provide any
methodology for requirements definition. This is because all these systems are designed
to proceed from the point after the requirements have already been established. The
outcome of this disintegrated approach to the problem definition is the lack of a feedback
loop between the problem definition and the problem solution. This eliminates the ability of
the decision maker to assess if a problem should be solved, or if the problem definition in
itself has been ill-formed. The solution to this problem requires an understanding of
acquisition approaches and the required flexibility to adapt synthesis systems to them.
2.2.3 Concepts for Advanced Synthesis Systems
The previous section indicated the deficiencies in representative aerospace
forecasting methodologies that are either too rigidly tailored to a specific type of problem,
or they are too open ended without providing any guidance on how problems should be
solved. Krishnamoorthy (2000) identifies 3 synthesis approaches that can benefit from
utilizing the Class V synthesis elements of KBS, DBS and Method Libraries proposed by
Chudoba (2001), Huang (2006) and Coleman (2010):
Synthesis by Problem Decomposisiton-Solution Recomposition – this involves the
reduction of the design problem into the lowest level of abstraction for analysis.
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6.a - Methodological problem requirements
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Then the individual solutions are recomposed into coherent whole solutions. This
approach relies heavily on understanding of the problem and ability to represent
them using blocks in the KBS and DBS.
Synthesis by Case-Based Reasoning – This involves using knowledge and
solutions of past cases and examples to solve present design problems. The
success of this method depends heavily on the availability of similar problems in
the KBS and DBS system.
Synthesis by Transformation Approach – This involves using rules and
generalizations from previous design studies to draw conclusions and solutions on
a current problem. This system relies on the DBS and KBS System having similar
problems converted into rules that can be matched to the current problem.
A modification of the synthesis paradigm has been initiated by utilizing the problem
decomposition-solution recomposition approach as the primary hypothesis for the current
research undertaking. This approach is flexible to adapt to the range of design problems
whilst offering uncompromised transparency due to the decomposition blocks and strategy.
2.3 Portfolio Planning for Technology Acquisition
The remedy to the dichotomy between the conceptual design tasks during the
product development lifecycle and the stakeholder requirements definition during the
acquisition lifecycle can be broken down into two parts. The first is the determination of a
methodology for assessing stakeholder interests and resources. The second is the creation
of a conceptual design methodology that is compatible with the acquisition solutions. Oza
(2016) addresses the earlier with project portfolio management, while, Gonzalez answers
the later with custom synthesis tool composition. This research is a bridge between these
two solution concepts.
40
2.3.1 Portfolio Planning Management
Portfolio refers to a company’s body of projects, ideas, technologies and
resources. In order to make decisions on the direction a company should follow, it is
important to (1) take stock of the company portfolio and the knowledge attached to them,
and to (2) prioritize the portfolio elements available for the given acquisition problem. Oza
proposes the use of Project Portfolio Management to bridge the gap between the
conceptual design and the stakeholder requirements definition of the acquisition lifecycle
(Oza 2016). Matthews (2010) explains that “… the project portfolio is focused on execution
and delivery, the innovation portfolio concerns itself with the development of a coherent
portfolio strategy and the maturation and selection of project candidates …”. Merkhofer
(2015) adds that project portfolio management involves the evaluation, prioritization and
selection of new projects in addition to the acceleration, reprioritization and termination of
existing projects in order to allocate or reallocate resources to maximize productivity.
Figure 2-16 shows an example of the Project Portfolio structure which allows streamlining
of resources, analysis capabilities and technology options over the acquisition lifecycle.
Figure 2-16 Comparison of Program vs Portfolio Approach to R&D (Janiga, 2014)
41
Oza (2016) postulates a semantically composable modeling platform system for
managing the following steps shown Figure 2-17:
1. Required inputs are identified and communicated by the acquisition researcher.
2. Inputs are processed and decomposed following the data logic strategy in the
system architecture.
3. The product portfolio model (PPM) is formulated into a technology portfolio to the
appropriate level of abstraction for the problem and is used to data-mine/assess
the portfolio’s performance.
4. The required developmental and technology risk tables (DTRts) are retrieved by
the PPM from a DBMS and managed according to the rationale in the inference
engine.
5. The DTRts library has been previously generated and used to describe the
capability performance model (CPM) for the technology portfolio.
6. Outputs are used to decide the processes to initialize for product sizing with the
zero silo DBMS approach.
Figure 2-17 Problem Formulation Data Automation Process (Oza 2016)
DTRt
Library
To zero silo
DBMSSystem
Architecture
Product
Portfolio Model
Capability
Performance Model
Integration
of Design
Results
42
The advantage of the PPM methodology is that it allows for low value and minimal
initial datasets associated with most concepts [to] be addressed by keeping early-phase
evaluations cheap and fast to minimize expenditures. In addition, the interface
methodology can assess each hardware technology independently, utilizing any level of
system abstraction with the aim to prioritize technology development to handle by
qualitative and quantitative metrics. Finally, the portfolios can be linked to company or
external databases systems and knowledge-base systems to provide additional insights
related to the problem at hand, such as supply chain information.
2.3.2 Synthesis Tool Composition
Gonzalez (2016) specifies a synthesis tool generation framework that is
compatible with the project portfolio management solution (Gonzalez 2016). The
framework utilizes syntactic and semantic composability principles to tailor make synthesis
systems to user problem requirements. Syntactic composability ensures that the
composition components can be and are connected properly as shown in Figure 2-18.
Semantic composability addresses whether the composed models are meaningful in terms
results and problem applicability. The synthesis tool generator achieves syntactic
composability by using a database management system to automatically generate
interfaces between the selected synthesis system composable components. It partially
enforces sematic composability by using a Graphical User Interface (GUI) that coordinates
the selection of meaningful composable components while, it is able to flag potential
modeling deficiencies.
43
Figure 2-18 Notional Example of Composability (Petty and Weisel 2003)
The advantage of the AVDDBMS methodology is its flexibility to both model old
design problems and adapt to new requirements. In addition, it takes advantage of the
lessons learned from many years of studying synthesis systems and leverages
advancements in computing technology to mitigate identified deficiencies. This has allowed
the creation of a system that is flexible to respond to stake holder requirement alternative,
structured to give new users guidance, quick to allow re-evaluations as new problem
information is received whilst being transparent enough to provide the decision-maker
confidence. This research contributes by defining the basic pieces of the AVDDBMS.
2.4 Chapter Summary and Solution Concept Specification
The project portfolio management methodology and the was invented as a
collaborative effort between Omoragbon (2016), Gonzalez (2016) and Oza (2016). The
original contribution of this author’s writing to these efforts is the definition of the building
44
blocks for each system, as well as the establishment of the data relationships between
them. This leads to the following solution concept specifications. The solution concept is
required to
utilize the concept of problem decomposition and system recomposition for
problem solving;
define building blocks for modeling aerospace vehicles as complex
multidisciplinary systems;
define building blocks for composable synthesis tool generation architecture for
aerospace vehicle conceptual design;
define building blocks for the project portfolio management architecture for
aerospace technology acquisition assessment;
Identify interfaces between the composable system architecture and the project
portfolio management architecture.
45
Chapter 3
COMPLEX MULTIDISCIPLINARY SYSTEM DECOMPOSITION CONCEPT
The objective of this research endeavor is to bridge the gap between aerospace
technology acquisition problems and aerospace vehicle conceptual design parametric
sizing. This involves the merger of considerations for stakeholder requirement definition
and an already complicated conceptual design synthesis processes. The stakeholder
requirements determine what aerospace design problems to solve, while the conceptual
design is concerned with determining the feasibility of the possible solutions to the design
problem. Chapter 1 discussed the problem that current technology acquisition analyses
tend to be qualitative and do not consider the added physical insight that parametric sizing
provides. Chapter 2 showed that typical conceptual design synthesis tools have been
developed to solve predefined design problems and are not easily adaptable to changing
stakeholder requirements. In order to leverage the existing knowledge and techniques from
stakeholder technology portfolio management together with a state-of-the-art existing
synthesis system, a composable technology innovation and sizing architecture has been
created in conjunction with (Oza 2016) and (Gonzalez 2016).
The technology innovation and sizing architecture is the culmination of research
done at the Aerospace Systems Engineering (ASE) Laboratory at the University of Texas
at Arlington. This research, amongst others, have been motivated by the following:
assessment of technologies for advancing commercial transports (Chudoba,
2009a);
evaluation of trust vectoring technologies (Chudoba 2009b; Omoragbon, 2013);
performance sizing of electric aircraft technologies (Chudoba. 2011);
creation of a high-speed technology investment databases (Haney 2013;
Chudoba, 2015);
46
technical feasibility assessment of a novel rotorcraft technologies (Chudoba,2014),
solution space screening of an air-launched hypersonic demonstrator (Chudoba,
2015b).
Figure 3-1 shows an overview of the primary steps defining the framework. The first step
is the decomposition of existing technologies and synthesis systems into building blocks.
The next step is the composition of these blocks into system models as given acquisition
or design problems require. The final step is the exploration of the different system models
for the best solutions to the problem.
The original contribution of the current research by the author Omoragbon to the
innovation and sizing framework is the prescription of the decomposition methodology and
the identification of the building blocks required for this framework to function. This chapter
discusses the CMDS decomposition solution concept for combining technology acquisition
with conceptual design.
Figure 3-1 Technology Innovation and sizing framework
3.1 Decomposition into CMDS Blocks
Complex Multidisciplinary System (CMDS) is the primary block managing data-
logic in the technology innovation and sizing Framework. In Chapter 2, the concept of
KEY RESULT: The AVD DBMS capability is rooted in three core complex multidisciplinary system (CMDS) integration technologies AVD delivers a technology innovation capability where the performance of the tool is tailored to the needs of the stakeholder and problem requirements
1
Complex Multidisciplinary System Decomposition
2
Complex Multidisciplinary System Synthesis
3
Complex Multidisciplinary System Data-mining
Objective
Measure the performance of candidate multidisciplinary systems
Prioritize candidate multidisciplinary systems with potential to contribute to stakeholder and problem requirements
Objective
Build candidate complex multidisciplinary systems to satisfy product development requirements
Draw relationships between candidate multidisciplinary system options and disciplinary effects
Objective
Systematically decompose the product, process, and method components for a specific multidisciplinary system and designed to solve a specific problem
Simplify the data requirements to consistently store in a database management system
SYSTEMAVD Sizing
SYSTEMHAVOC
SYSTEMVDK / HC
G
METHODS
PRODUCT
PROCESS
G
METHODS
PRODUCT
PROCESS
G
METHODS
PRODUCT
PROCESS
DECOMPOSED SYSTEMS
COMMONCOMPONENTS
SPECIFICCOMPONENTS
DBMSDATA ENTRY
Time, Cost, Uncertainty, …
47
viewing aerospace vehicles as complex multidisciplinary systems has been discussed. The
importance of CMDS is that it provides a common foundation for any object that can be
observed or modeled for any purpose. Finger and Dixon (1989a, 1989b) categorize two
considerations for modeling in design: (1) the description of the attributes of the design
artifact, and (2) the description of how the design artifact is designed. In order to account
for complexities arising from analysis by the CMDS from multiple disciplines, the second
consideration can be further divided into the analysis process and disciplinary methods
used for analysis.
Figure 3-2 shows CMDS decomposition blocks. The product block represents the
object that is to be studied. The analysis process block prescribes the major steps to
following evaluating the product. The disciplinary methods block describes the application
of disciplinary principles or empirical data to obtain results for the different steps in the
analysis process. This CMDS representation is consistent with both technology acquisition
and conceptual design problems. In acquisition problems, technology assessment
processes and methods are used to determine which products are best to pursue. For
example, as discussed in Chapter 1, the TRL calculator is a tool used determine
technologies that are the furthest along in development. In conceptual design problems,
synthesis tools and methodologies are used to either determine the performance of given
technologies or determine the vehicle size required for the technology to achieve a given
performance level. For example, Coleman (2010) discusses the analysis processes and
methods that different conceptual design synthesis systems use in designing aerospace
vehicles. The identification and documentation of the CMDS decomposition blocks
provides the tools necessary to quickly understand how both acquisition and conceptual
designs can be solved. The following sections discuss the decomposition of these CMDS
blocks.
48
Figure 3-2 CMDS Decomposition Blocks
3.2 Decomposition into Product Blocks
The product block describes the physical characteristics of the artifact that is to be
designed or acquired. There are three considerations that describe the product: (1) what it
does, (2) when it does it, and (3) the limitations or requirements for its operation. Figure
3-3 shows the product decomposition blocks based on these descriptions. Functional
subsystem decomposition is one of the common means of product decomposition in the
literature. However, operational events and operational requirements are introduced here.
The product decomposition block is important to both, acquisition assessment and
conceptual design. It creates a template description of technologies that are to be acquired.
It also defines the parameters of the object that is to be designed.
Figure 3-3 Product Block Decomposition
Product
Functional Subsystem
Operational Event
Operational Requirement
Mission Type
Flight Profile
Speed Range
Altitude Range
Regulations
Specifications
Lift Sources
Stability & Control Devices
Thrust Sources
n-Function
Thrust Sources
49
3.2.1 Subsystem Decomposition
Product decomposition in literature involves reducing the artifact into a hierarchical
network of subsystems and attributes until it reaches a desired level of abstraction
conducive for solving a given problem (Krishnamorthy 1996). For example, consider an
aircraft as the product shown in Figure 3-4. One of the subsystems is a wing and one of
the wing’s subsystems is a spar. If the problem requires the stress analysis of the aircraft,
the aircraft can be decomposed further into individual elements. Attributes are then used
to describe the properties of that subsystem at a given level of abstraction. In the previous
example, attributes could include the shape of the element and its material. As discussed
in Chapter 2 and (Shashank 2011, 2014), complexity increases with the number of levels
of abstraction and the type of analysis done at each level. It is imperative to increase the
levels of abstraction only as needed. However, there is a risk of loss of information about
the subsystem. In order to preserve subsystem information, subsequent levels of
abstraction can be stored as attributes. For example, if the problem only requires the
aerodynamic analysis of the wing, one of its attributes can be the type of wing sweep
(forward or backward).
Figure 3-4 Example of hierarchal product decomposition
Aircraft
Wing
Spar
Element
50
There are two major product decomposition schemes; the (1) structural or form
decomposition, and the (2) functional or modular decomposition. Structural decomposition
involves breaking the domain into various physical components that are used to construct
the solution (Krishnamoorthy, 2000). In order words, it is the decomposition of the product
according to its physical form. Figure 3-5 shows an example of the structural decomposition
of an aircraft. The benefit of structural decomposition is that it preserves the representation
of dependencies between assemblies, subassemblies and parts. Every node represents
an assembly level while every line represents a dependency. One drawback of structural
decomposition is that it may not produce a consistent representation across similar product
types. For example, the structural representation of aircraft with wing mounted engines is
different from that fuselage aft-mounted engines. The product decomposition scheme used
in this research is the functional decomposition scheme discussed in the next section.
Figure 3-5 Example of structural decomposition
3.2.1.1 Functional Decomposition
Functional decomposition, on the other hand, involves the resolution of the product
into constituent parts based on the primary functions they serve. In this scheme, the
primary functions at each abstraction level are identified and the subsystem that satisfy
these functions are grouped into modules. Figure 3-6 shows an example of functional
decomposition of an aircraft. In this decomposition scheme, the engine is not a sub
Aircraft
FuselageWing Assembly
WingLanding Gear
Turbofan Engine
Tail Assembly
Vertical Tail
Horizontal Tail
51
assembly of the wing assembly. It is a subsystem of its own because it serves a separate
function. The benefit of functional decomposition is that it gives a consistent representation
of similar product type and shows points that can benefit from standardization and
interchangeability. The drawbacks, however, are that information about the assembly of
the product is lost in this representation and subsystems with multiple functions may not
be properly represented.
Figure 3-6 Example of functional decomposition
Functional decomposition is a popular technique in literature. It is a primary step
in the system engineering process (DAU 2013, SMC 2010; USAF 2011; OSD 2015; MSFC
2012) and analysis of large complex systems (Courtois, 1985). It can be used to arrive at
product families based on modularity (Martin and Ishii 1997) and component
standardization (Kota and Sethuraman 1998), customer demands (Gonzalez–Zugasti et
al. 1998, 1999). Advanced methods have been developed for configuration design, based
on functional decomposition using design structure matrices (Newcomb et al. 1998),
Artificial Intelligence (AI) (Soininen et al., 1998), constraint satisfaction (Mittal &
Falkenheiner, 1990), resources (Heinrich & Jungst, 1991), evolutionary methods (Gero et
al. 1997; Rosenman & Gero, 1997), rewrite rules methods (Agarwal & Cagan, 1998;
Agarwal et al., 1999), heuristic rule methods (Kolodner, 1993), fuzzy neural network
(Kusaik and Huang 1996), design negotiation (Kusaik et al 1996) and design guided
methods (Corbett and D.W. Rosen 2004).
Aircraft
Lift:Wing
Landing:Landing Gear
Thrust:Turbofan
Compression:Fan, Inlet, Compressor
Combustion:Burner
Expansion:turbine, Nozzle
Volume:Fuselage
Stability & Control:Tail
52
3.2.1.2 Applicability to Acquisition and Conceptual Design
The functional decomposition scheme has been adopted for this research because
it is conducive to both acquisition and conceptual design problems. Company technology
portfolios are typically based on some representation functional modules. That means, this
scheme provides a line of connection to data-bases and knowledge-bases in order to
support decision-making. In addition, technology assessment methods described in
Chapter 1, such as the TRL calculator, can be used on each module at that different levels
of abstraction. Finally, new product families can be generated from combining modules by
using the many configuration generation techniques available. Conceptual design benefits
because the scheme provides a template for judging the applicability of a synthesis tool to
a given design problem. In addition, it helps to identify analysis gaps that should be
addressed in the flexible synthesis system by showing which parts of the product the tools
do not analyze.
Table 3-1 shows some major subsystem functions for aerospace vehicles and
some hardware examples. Hardware is used interchangeably with functional subsystem
because for aerospace vehicle conceptual design, subsystems are physical hardware not
abstract forms such as software modules or sub-functions. Although some hardware
functions are related to traditional disciplines, such as aerodynamics and propulsion, the
subsystems are not chosen based on discipline (e.g. aerodynamic subsystems). This is
because functions describe as the cause’ why subsystems exist, while disciplines assess
the ‘effects’ of having them as a consequence. For example, even though engines are
providing thrust, they have aerodynamic effects such as drag.
53
Table 3-1 Description of Hardware Function Categories
Function Purpose of Hardware Example(s)
Drag Source Provide drag force Parachute, Autogyro, etc
Landing System Provide capability to land/recover Tricycle Gear, Skids, etc
Lift Source Provide lift force Wing, Wing Flap, Lifting Body, etc
Stability & Control Provide stability and/or control Aileron, Elevon, etc
Thermal Protection Provide thermal protection Ablator, Heat Shingle, Heat Pipe, etc
Thrust Source Provide thrust force Turbojet, Turbofan, Scramjet, etc
Volume Supply Supply internal volume Fuselage, Fuel Tank, Pod, etc
54
Figure 3-7 Functional Subsystem Block Decomposition
55
3.2.1.3 Hardware Attributes Definition
Figure 3-7 shows a functional decomposition tree for aerospace conceptual
design. The number of functions and subsystems can vary depending on the design
problem. In this research, one level of abstraction has been chosen in order to reduce the
complexity of the conceptual design problem. That is, only one level of decomposition is
used. As previously mentioned, there is risk of loss of information about subsequent levels
in this scheme. In order to avoid this loss, hardware attributes have been defined to
preserve detail information about the subsystem. Table 3-2 shows some examples of
hardware attributes that can be used.
Table 3-2 Hardware Attribute Examples
Function Hardware Attribute Attribute Options
Lift Source Body Waverider Features Yes, No
Nose Bluntness Sharp, Spherical Bluntness
Nose Shape Cone, Spatula
Under Body Round Bottom, Flat Bottom
Cross Section Circular, Elliptic, Rectangular, FDL-8H
TPS Material T.D. NiCr, Radiation Shingle (Superalloys), Carbon-Carbon, TUFI/AETB, Haynes, BLA-S, BLA-HD, BRI-16, FRSI, SIP
Structure Material Tungsten, Inconel, Titanium, Aluminum, Steel, Composite hot structure
Wing Waverider Features Yes, No
Planform Trapezoidal Tapered, Delta, Double Delta, Cropped Delta
Dihedral Dihedral, Anhedral, gull, Inverted gull, Channel, Cranked
Position High, Mid, Low
Aspect Ratio High, Mid, Low
Sweep Back Swept, Forward Sweep, No Sweep
TPS Material T.D. NiCr, Radiation Shingle (Superalloys), Carbon-Carbon, TUFI/AETB, Haynes, BLA-S, BLA-HD, BRI-16, FRSI, SIP
Structure Material Tungsten, Inconel, Titanium, Aluminum, Steel, Composite hot structure
56
Thrust Source Scramjet Inlet 2-D Planar, 3-D Inward Turning
Isolator 2-D, 3-D, 2-D to 3-D
Combustor 2-D, 3-D
Nozzle SERN, 3-D, 2-D
RamJet Inlet 2-D Planar, 3-D Inward Turning
Combustor 2-D, 3-D
Nozzle SERN, 3-D, 2-D
⁞
3.2.1.4 Hardware Shell and Implementation Blocks
Hardware shells and implementations have been defined to reconcile conceptual
design products and acquisition products. Conceptual design subsystem attributes do not
need to be well defined or based on existing products. They can be conceptual and
analyzed as long as the abstractness of the model is acceptable. The shell hardware
representation is a designation for hardware without defined attributes. They can be
combined together to form different shell vehicle configurations without the constraint of
matching attributes. Figure 3-8 shows 6 different shell vehicle packages created 10 shell
hardware.
Figure 3-8 Example Shell Vehicle Packages
Lift Source All-Body All-Body Blended Body Blended Body Wing Body Wing Body
Stability & Control X-Tail X-Tail Twin Tail &
Elevons
Twin Tail &
Elevons
Twin Tail &
Elevons
Twin Tail &
Elevon
Thrust Source SCRAMjet SCRAMjet SCRAMjet SCRAMjet SCRAMjet SCRAMjet
Landing System Tricycle Parachute Tricycle Parachute Tricycle Parachute
Thermal Protection
System
Passive Passive Passive Passive Passive Passive
Shell
Package #5
Shell
Package #6
Shell
Package #4
Function Shell
Package #1
Shell
Package #2
Shell
Package #3
57
In contrast to conceptual design subsystems, acquisition subsystems need to be
based on existing or well defined technologies. This is because the key performance
parameters of cost, time and uncertainty are easier to determine for products with historical
backing. Hardware implementation is the designation for subsystems based on existing
technologies. Hardware implementations can be created by decomposing existing vehicles
or identifying subsystems from public domain to proprietary or secret literature. Figure 3-9
shows the decomposition of X-51A into hardware implementations. The Hytech engine is
the resulting implementation of scramjet hardware. Subsequent analysis using this
implementation can assume TRL levels, costs, supply chain information and other
attributes of the Hytech engine. Another application of hardware implementation is the
combination with shell vehicle packages to create innovative portfolios of candidate
vehicles. For example, the shell vehicles shown in Figure 3-8 can be permutated with
hardware implementations for each shell hardware to form new results.
Figure 3-9 X-51A decomposition into hardware implementations
3.2.2 Operational Event Decomposition
Operational events describe how the product is designed to be used. They are the
characteristics of the product that explain how it behaves overtime. Operational events are
Stability and Control Function
Lift Source Function
Thrust Source Function
• all moving fins
• bottom tail dihedral
• spatula nose
• flat bottom
• rectangular cross section
• Boeing light-weight ablator (sprayed-on)
• Boeing light-weight ablator (honeycomb
reinforced)
• Boeing reusable insulation
• strain isolation pad (under tiles)
• 2D planar inlet
• RTR isolator
• rectangular combustor
• rectangular cross section
X-Tail
Passive TPS
All Body
SCRAM-Jet
Hardware Hardware Implementation Hardware Attributes/Components
Thermal Protection Function
HyTech Engine
X-51A
FunctionVehicle
BLA-S
BLA-HD
BRI-16 Tile
FRSI
SIP
58
used to define how the product performance should be simulated. For aerospace vehicles,
the operational events define the vehicle mission. The decomposition of the aircraft mission
into flight segments is common practice in flight mechanics texts (Vinh, 1995; Philips, 2010;
Stengel 2004; Miele, 1962), flight trajectory simulation codes (Powell, 2003; Paris et al,
1996) and trajectory optimization techniques (Vinh, 1981). They are used for stability
investigations, control law designs, performance estimations, flying and handling qualities
evaluation of aircraft. Figure 3-10 shows the decomposition blocks used in this research.
Figure 3-10 Operational Event Decomposition Block
59
3.2.2.1 Mission Type
The mission type describes the vehicle objective of the vehicle based on its start
and end points in space. Table 3-3 shows the basic mission types, descriptions and some
vehicle examples. Point-to-point (P2P) missions involve the vehicle flying from one point
on earth to another point on earth. The design objective of this mission could either be for
the vehicle to meet a design range or a design endurance (mission duration). In a suborbital
mission, the vehicle flies to a design altitude outside the earth’s atmosphere. However, its
maximum velocity is not enough to sustain orbit. For orbital insertion missions, the vehicle
flies from earth into a design orbit defined by an insertion altitude, velocity and flight path
angle. Conversely, reentry missions begin at an altitude, velocity and flight path angle in
orbit then end on the earth surface. Finally, in escape missions, the vehicle exits the
atmosphere and reaches escape velocities required to leave the earth gravitational field.
Table 3-3 Description of Mission Types
Type Objective of Vehicle Example Vehicles
Point-to-Point Move vehicle or payload from one point to another B747, A320, F22, C-5
Sub Orbital Reach space (>100 km) without sufficient energy to complete one orbital revolution
Spaceship 2
Orbital Insertion Reach space (>100km) with sufficient energy to remain at a specific altitude for more than one orbital revolution
Saturn V, Falcon 9
Orbital Reentry Enter from orbital altitude through planet’s atmosphere Apollo Capsule, Dragon Capsule
In-Space Perform mission objectives in planetary orbit ISS
Escape Provide sufficient energy to escape planetary gravity well Voyager 1&2
3.2.2.2 Flight Profile
The flight profile describes the path the vehicle takes between the start and end
points defined by the mission type. The flight profile is decomposed into separate flight
phases for further analysis (Vinh, 1981). These flight phases or segments form blocks that
can be used to build various flight profiles. Figure 3-11 shows example flight profile of a
60
two-place advanced deep interdictor aircraft. It is a P2P mission with both, a combined
range and endurance objective.
Figure 3-11 Example Flight Profile (Jenkinson, 2003)
3.2.2.3 Function Modes and Flight Segments
Not all functional subsystems serve their functions for the entirety of the operation
of the product. In some cases, products switch between multiple subsystems during their
operational phases. Function modes are introduced to describe the different ways each
function is satisfied during product operation. Table 3-4 shows example thrust source
modes for a vehicle with a rocket for acceleration and a scramjet for cruise. Function modes
61
can also be used to describe configuration changes. Consider the XB-70 shown in Figure
3-12. It droops it wings during supersonic flight to reduce wave drag by morphing into a
waverider, ultimately riding the shock wave for compression lift. This change in
configuration can be modelled using two lift source modes. The first to represent the
drooped wing for supersonic flight phases. The second to represent the regular
configuration for the other (mostly low-speed) flight phases. Modes can be defined for
every function to simulate various scenarios including engine-out conditions, landing gear
deployment and dual mode scramjet ramjet-to-scramjet mode transition.
Table 3-4 Example thrust function modes for a vehicle
Function Mode Hardware in Use Flight Segment Description
Thrust Source Mode 1 Rocket Ascent/Climb Rocket used for acceleration
Thrust Source Mode 2 Rocket, Scramjet Transition Transition between rocket and scramjet
Thrust Source Mode 3 Scramjet Cruise Scramjet used for cruise
Thrust Source Mode 4 None Glide Engines off for glide
Figure 3-12 Artist rendering of North American XB70 (Bagera, 2008)
3.2.2.4 Speed and Altitude decomposition blocks
The speed and altitude decomposition blocks define the environment the vehicle
will experience during its flight. As discussed in Chapter 2, the environment significantly
62
affects the complexity of the vehicle design. Molecular dissociation at hypersonic speed,
thermal soak during reentry and ultraviolet radiation at high altitudes are some of the
phenomenon that occur at extreme environments. The altitude and speed range building
blocks are meant to give a representation of flow phenomenon the vehicle is expected to
encounter. Mach number flow regimes shown in Table 3-5 are used as the speed range
decomposition blocks. And the decomposition blocks for the altitude range are the Earth
atmospheric layers shown in Table 3-6. In both cases, multiple selections can be made
according to the expected flight profile and mission type of the vehicle.
Table 3-5 Mach Number Flow Regimes
Mach Regime Mach Number
Subsonic <0.8
Transonic 0.8-1.0
Sonic 1.0
Supersonic 1.0-5.0
Hypersonic 5.0-10.0
High Hypersonic >10.0
Table 3-6 Earth atmospheric layers used as altitude range blocks
Earth Atmospheric Layers Altitude Range
Exosphere 700 to 10,000 km (440 to 6,200 miles)
Thermosphere 80 to 700 km (50 to 440 miles)
Mesosphere 50 to 80 km (31 to 50 miles)
Stratosphere 12 to 50 km (7 to 31 miles)
Troposphere 0 to 12 km (0 to 7 miles)
3.2.3 Operational Requirement Decomposition
Operational requirements describe regulations, limits and boundaries on the
utilization of the products. Figure 3-13 shows the operational requirement decomposition
blocks. Regulatory bodies impose standards that must be met in order to maintain safety
of operation. For aircraft, these regulations include airworthiness standards and noise
63
standards such as Federal Aviation Regulation (FAR) 23 (US 1900) for general aviation
and FAR 25 (US, 1900) for commercial transport. Other operational requirement
considerations are specifications that dictate non-functional or mission design choices that
define the product. Examples include human rating, propellant type, pollution limits etc.
The inclusion of operational requirements in the definition of CMDS do complete the holistic
description of the product. They help in acquisition problems by giving a means to
communicate organizational design philosophies and stakeholder requirements to the
designer. They also provide additional parameters that differentiate competing
technologies.
64
Figure 3-13 Operational Requirement Decomposition Blocks
3.3 Decomposition into Analysis Process Blocks
The Analysis Process Block is the second branch of the CMDS decomposition. It
shows the coordination of analysis activities and procedures during for the design of the
product. The number and types of interactions between activities described by analysis
process are good indicators of product complexity. Process decomposition is a means to
manage the complexity of the product design (Johnson and Benson, 1984) and business
processes (Huang et. Al., 2010). The design structure matrix is a powerful tool developed
to represent processes during decomposition (Steward, 1981). Figure 3-14 shows an
example of a design structure matrix. The flow of information from the column index to the
row index is marked with “*” while “+” shows a diagonal. After decomposition, design
processes can be improved using techniques such as partitioning algorithm (Rogers, 1989;
Sobieszczanski-Sobieski, 1982, 1989), Cluster Identification algorithms (Kusiak and Chow,
1987) and Branch-and-Bound algorithm (Kusiak and Cheng 1990). They can help identify
events that can run concurrently, minimize number of overlapping parts, decrease resource
usage and maximize measures of effectiveness.
Figure 3-14 Design Structure Matrix representation of a process (Kusiak 1999)
1 2 3 4 5 6 7 8
1 + * * *
2 + *
3 + *
4 * * + *
5 * * +
6 +
7 +
8 * +
6
3
1 2
4
7
5
8
65
Figure 3-15 shows the analysis process decomposition blocks used in this
research. It is applicable to CMDS decomposition for both acquisition and conceptual
design problems. The blocks have been chosen based on the principle that decomposition
process modules should have high cohesion within themselves, but low coupling with other
modules (Kusiak, 1999). They are also based on the description of conceptual design
synthesis systems processes identified by Coleman (2010). There are two parts to the
decomposition: (1) System Elements, and (2) Disciplinary Elements.
Figure 3-15 Analysis Process Decomposition Blocks
3.3.1 System Analysis Blocks
The system analysis blocks describe the formulation of the overarching problem.
Analysis problems can be posed as function evaluations, system of equation solutions or
objective function optimizations. These types of problems can be constructed from a set of
independent and dependent variables. A dependent variable is selected from any output
of a module (step) in the process. An independent variable is selected from inputs to
process modules which are not outputs from other modules. The objective function block
66
is used to create relationships between independent and dependent variables which
specify the type problem (evaluation, solution or optimization).
3.3.2 Disciplinary Analysis Blocks
The Disciplinary Analysis Blocks describe the overarching steps in the analysis
process. In this research, the analysis process is constructed such that each process step
is a module containing all the analysis performed by a single discipline. Discipline, in this
context, refers to a formal branch of knowledge where the scientific method is used to
generate empirical data or theories to explain phenomena that are observed. The choice
to isolate disciplinary analysis to modules is based on the principle by Kusiak (1999), that
decomposition process modules should have high cohesion within themselves but low
coupling with other modules. A result of a disciplinary analysis is termed ‘disciplinary effect’.
Effects are represented as variables in the process. For example, total drag is a disciplinary
effect evaluated by the aerodynamic discipline and it can be represented as D. The
disciplinary effects block is used to define effects that are key performance parameters,
inputs to other disciplines or used as dependent variables in the objective function.
Disciplinary dependencies blocks are input parameters that define the degrees of freedom
of a disciplinary analysis module. For example, if the aerodynamics module dependencies
are altitude, velocity and angle of attack, then all aerodynamic effects are only applicable
to 3DOF simulations. The analysis process formulation is intentionally decoupled from the
product, so that it does not contain any product information.
3.4 Decomposition into Disciplinary Method Blocks
Disciplinary methods are sets of empirical, numerical or analytical functions or
equations used to determine disciplinary effects of a product or its subsystems. Disciplinary
methods populate the disciplinary modules defined in the analysis processes. Figure 3-16
67
shows the three aspect of disciplinary methods identified in this research effort. The
product model block uses the hardware, mission and operation decomposition blocks
explained in Section 3.2. As opposed to product decomposition, where the entire product
is described, the product model blocks describe only parts of the product and their relation
to given method models. The variables block contains variables used as method
dependencies (inputs), as method effects (output) or method constraints. Constraint
variables describe quantifiable ranges of applicability of a method. For example, a Mach
number range, 0.8<M<1.0, expresses the boundaries of a transonic aerodynamics method.
The analysis block contains the computation details of the method. The discipline describes
the formal branch of knowledge from which the method is created. The assumptions are
qualitative concessions made during the derivation of the analysis equations.
Figure 3-16 Disciplinary Method Block Decomposition
68
3.5 Chapter Summary
This Chapter discusses the Complex Multidisciplinary System Decomposition
(CMSD) solution. The CMDS is the first of a three step process in the composable
technology innovation and sizing architecture. The architecture created in conjunction with
(Oza 2016) and (Gonzalez 2016) leverages existing knowledge and techniques from
stakeholder technology portfolio management as well as existing aerospace synthesis
systems. The CMDS decomposition blocks represent a generic means to manage system
complexity. The product decomposition blocks, analysis process blocks, decomposition
blocks and disciplinary method blocks are the main parts of the CMDS decomposition
scheme identified, developed and software-implemented in this research. The biggest
benefit of the formulation presented is the fact that it enables both, aerospace technology
acquisition portfolio management and conceptual design parametric sizing tool
customization.
69
Chapter 4
COMPLEX MULTIDISCIPLINARY SYSTEM DECOMPOSITION TOOL
The Complex Multidisciplinary System Decomposition (CMSD) concept described
in Chapter 3 is designed for use in a database management framework. The prototype
Database management framework developed to this end is the AVDDBMS. It has been
created in conjunction with Oza (2016) and Gonzalez (2016) for the purpose of validating
the proposed innovation technology and parametric sizing solution concept. The
decomposition branch of this framework allows the user to systematically decompose
CMDS for improving understanding and storing CMDS attribute for later reuse. AVDDBMS
has three layers: (1) Graphical User Interface (GUI) layer, (2) database layer, and (3)
analysis layer. Table 4-1 shows the software and corresponding programming languages
comprising AVDDBMS. Figure 4-1 shows the 3 layer architecture. The GUI Layer is the
means by which the user interacts with AVDDBMS. It is created using MS Access forms that
initiate VBA commands that control the database. The database layer contains SQL
commands which manage data transfer between the GUI and database. It is also used to
generate custom CMDS synthesis tools. The analysis layer, in the MATLAB environment,
is where the CMDS synthesis tools are executed. This chapter discusses the CMDS
decomposition methodology as well as CMDS decomposition tools available in the
AVDDBMS framework.
Table 4-1 AVDDBMS Layers
Layer Software Programming Language
GUI Layer Microsoft Access Microsoft Visual Basic with Applications (VBA)
Database Layer Microsoft Access Search Query Language (SQL)
Analysis Layer MATLAB MATLAB Script
.
70
Figure 4-1 AVD DBMS Three Layer Architecture
4.1 CMDS Decomposition Methodology
Complex Multidisciplinary Systems (CMDS) Decomposition is a powerful tool for
defining the technology acquisition portfolio and evaluating the applicability of a conceptual
design synthesis system to a design problem. As discussed in Chapter 2, a CMDS is any
body of knowledge aimed at describing or analyzing a system. That is, it has a broad range
of embodiments. Reference texts that discusses technologies and parametric sizing tools
for vehicle synthesis are CMDS examples. Figure 4-2 shows the decomposition
71
methodology for the aerospace CMDS developed in this context. First, a given CMDS is
decomposed into product, process and method blocks. Then these blocks are examined
to identify common components that already exist in the database, followed by specific
components that are unique to the CMDS. Finally, all the CMDS information is stored using
AVDDBMS. Using this methodology, the understanding of existing problems and capability
to solve new problems increase as more CMDS are decomposed.
Figure 4-2 Methodology for CMDS Decomposition
4.2 CMDS Decomposition Input Forms
AVDDBMS decomposition input forms are used to execute the aerospace CMDS
decomposition methodology. There are three decomposition forms: (1) product input form,
(2) analysis input form, and (3) disciplinary method input form.
4.2.1 Product Input form
Figure 4-3 shows the product input form. It is a card that describes the CMDS
product decomposition blocks described in Section 3.2. The top half represents the
72
hardware, mission (operational event) and operational requirement blocks. Hardware are
grouped by function, mission is grouped by altitude range, mission type, speed, and flight
segment. The operational requirements are human rating, propellant type, regulations and
other non-hardware specifications. The bottom half of the card is used to map hardware to
function modes and function modes to flight segments as discussed in Section 3.2.2.3.
Function modes are different ways a group of hardware are used to satisfy a function. For
example, thrust modes for aircraft with both rockets and scramjets are: (1) all engines on,
(2) rocket only, (3) scramjet only, (4) all engines off. The trajectory segment mapping is
used to specify when each function mode is used. For example, all engine off is used for
the glide segment.
Figure 4-3 Product Input Form
73
4.2.2 Analysis Process Input Form
Figure 4-4 shows the analysis process input form. This card is used to record the
CMDS analysis decomposition block information described in Section 3.3. The form has 5
sections: (1) System Variables, (2) Discipline, (3) Disciplinary Process Variable, (4) Error
Function, and (5) Dependent Variable Check. System variables consist of independent
variables and dependent variables which are selected from all the variables available in
the database. They are variables that are used to specify the objective function as
discussed in Section 3.3.1. The discipline section is used to specify the disciplines involved
in the analysis process as well as the order they are run. The disciplinary process variable
section dictates the key effects of each discipline. For each discipline, only variables that
are known to be outputs of that discipline can be selected. The error function section shows
the objective function of the analysis process. Finally, the dependent variable check section
ensures the dependent variables selected in the system variable section are actually
dependent. That is, variables that are marked as disciplinary effects and are directly used
in the objective function.
74
Figure 4-4 Analysis Process Input Form
4.2.3 Disciplinary Method Input Form
Figure 4-5 shows the disciplinary method input form. This card has 9 sections for
describing CMDS disciplinary method decomposition blocks discussed in Section 3.4. (1)
The first section is the reference section. It is used to keep track of page numbers of all
references used in constructing the method. It is also linked to the AVDDBMS reference
library for more detail. (2) The method information gives the details of the method such as
discipline, method ID, title date created and date update. (3) The ‘more button’ on that
section provides additional detail about the method including assumptions made. (4) The
input section displays variable inputs used by method, while, the (5) output section is for
disciplinary effects (variable outputs) calculated in the method. The (6) constraint section
specifies quantitative limits of method applicability. The (7) hardware mission (operational
event) and (8) operation sections are used to describe aspects of the product that is
modeled by the method. Finally, the (9) analysis section links the method card to the
75
analysis platform. AVDDBMS uses the MATLAB environment for analysis. Therefore, the
method analysis steps are written in a MATLAB script as shown in Figure 4-6.
Figure 4-5 Disciplinary Method Input Form
76
Figure 4-6 Example Methods Library Entry MATLAB m-file (AERO_MD0001.m)
One key to the AVDDBMS implementation is the re-structuring of analysis file data
input and output requirements. When writing a new analysis file for a new method, it is not
necessary to include the description of any input variables in the analysis file. Any new
analysis method is made with the assumption that any input variable that has been selected
using the disciplinary method input form exists in the workspace for that file. This means
that when writing a new method file, it is only necessary to include lines of code dealing
with the analysis meant to be performed. In other words, the burden of tracking where input
variables have been created, or how they are connected in the system, is not placed on
the user/creator of the method but rather the onus is on the system itself to correctly track
and implement these connections.
4.3 Chapter Summary
This chapter discussed the implementation of the CMDS decomposition
methodology. The AVDDBMS is the tool developed for this effort. It is a database
management software programmed in MS Access and the MATLAB environment using
VBA, SQL and MATLAB script languages. CMDS decomposition is executed using the
decomposition forms available in AVDDBMS. The forms include product input, process input
and disciplinary method input forms. CMDS have a broad range of embodiments ranging
77
from reference texts to parametric sizing tools. As more CMDS are decomposed, both
understanding of existing problems and capability to solve new ones increase.
78
Chapter 5
COMPLEX MULTIDISCIPLINARY SYSTEM DECOMPOSITION CASE STUDY
5.1 Case Study Objectives
The objective of this research has been to bridge the gap between technology
acquisition and conceptual design. The CMDS decomposition methodology developed has
been identified as a vital piece creating the bridge between the two domains. The purpose
of this case study is to demonstrate the application of this methodology to a relevant
acquisition and design problem. The problem selected is the solution space screening
study of air-launched hypersonic demonstrators. It was done in 2015 in conjunction with
Bernd Chudoba, Lex Gonzalez, Amit Oza under the Summer Faculty Fellowship Program
(SSFP) at Wright-Patterson Air Force Base. The case study problem required the
contribution of this research thesis as well as (Oza 2016) and (Gonzalez 2016). This
chapter discusses the problem, research strategy, strategy execution and study results.
5.2 Case Study Problem – AFRL GHV
The US Air Force Science and Technology Research plan (USAF, 2011) highlights
US interests in hypersonic technologies. These technologies enable operational high-
speed weapons and aircraft platforms that are vital increasing warfighting capabilities. They
also contribute to intelligence, surveillance, reconnaissance and other mission objectives.
The Air Force projects these systems to be operational by 2030 (Norris, 2012). In order to
ensure the success of these systems there is a need to determine the best high-speed
technologies. Improper planning has been the bane of many research projects in the past
as expressed by former Undersecretary of the Air Force, Brockway McMillian
(Morgenthaler, 1964):
79
We don’t spend enough time, energy, or talent in deciding how to deploy our technological resources - - in other words, in deciding what to develop out of the products of our research. Just as our research and development program must match the risks that we face in the international arena, so also must our planning of that program be commensurate with the commitments we are making. …How much effort should we expend to be sure we are committing these resources toward a product that we really need and one that we can really use?
Another hindrance to hypersonic vehicle research is its sensitive nature to national
defense. International Trade in Arms Regulations (ITAR) guidelines and industry
proprietary technology considerations have restricted the amount of information that can
be accessed and published in academia. However, the benefit of collaboration between
multiple bodies to solve these problems is unquestionable. In response to this need, the
Air Force Research Laboratory (AFRL) has provided a setting for collaboration between
aerospace hypersonic research partners working in government, industry or academia.
This avenue for collaboration is the generic hypersonic vehicle (GHV) study. Ruttle (2012)
describes the study thus:
Due to proprietary or ITAR restrictions, AFRL cannot readily provide most data or designs to researchers who are not in the US Government or associated contractor community. It was decided that a family of in-house designs should be created which would be publicly releasable and relevant to current hypersonic projects. AFRL would then be able to share these designs and any data derived from them with other government, academic or industry partners and thereby foster greater collaboration within the area.
The objective of this study was to create a family of generic hypersonic vehicles (GHV) completely in-house using design tools either owned by or licensed to AFRL. The GHV would have to be based upon the state of the art in hypersonic engine design so that it would be valuable for studies of operability, controllability, and aero-propulsion integration. It was agreed early on that the vehicle would need to have a blended wingbody configuration, 3D inlet and nozzle, an axisymmetric scramjet combustor, and a metallic structure with a thermal protection coating. The GHV would cruise at Mach 6 within a dynamic pressure range of 1000 to 2000 psf, and maneuver at a maximum loading factor of approximately 2G.
80
For the sake of the current research endeavor, the GHV study is posed as an
acquisition and conceptual design problem. Figure 5-1 shows the configuration and
mission description of the GHV study. The case study questions to be answered are:
Acquisition: What relevant technology packages satisfy the GHV type mission?
Acquisition: What technology package gives the least acquisition risks?
Conceptual Design: What is the configuration of the least risk technology package?
Conceptual Design: What is the technical feasibility of the technology package?
Figure 5-1 Generic Hypersonic Vehicle Study Description (Ruttle et al., 2012)
81
5.3 Case Study Research Strategy
The strategy adopted balances the acquisition and conceptual design challenge.
The acquisition challenge is to determine the technologies to invest in. The conceptual
design challenge is to evaluate the technical feasibility of the technology investments and
address identified pitfalls. Primary emphasis has been placed on the utilization of existing
hypersonic vehicle knowledge at the UT Arlington Aerospace Systems Engineering (ASE)
Laboratory and execution of the technology innovation and sizing framework developed in
conjunction with Gonzalez (2016) and Oza (2016). This involves the prioritization of a
hypersonic demonstrator vehicle portfolio and producing parametric flight vehicle technical
feasibility solution spaces. The study is executed in two parts:
Part 1: Technology Acquisition Portfolio Prioritization
Part 2: Conceptual Design Parametric Sizing
5.4 Part 1: Technology Acquisition Product Portfolio Prioritization
The initially wide-open trade space of hypersonic technologies is refined
successively and constrained to trades of immediate relevance to the GHV type mission.
The range of past-to-present hypersonic demonstrators is assessed in order to deliver a
small, yet reasonable number of design attributes directly addressing the immediate critical
mission-operation-hardware path or need. The overall trade-space consists of
combinations of: (a) mission (endurance, payload, speed), (b) operation (carrier system,
booster system, landing system), (c) hardware (thrust source: 2D and 3D scramjet; lift
source: blended-body and wing-body). Figure 5-2 shows the technology acquisition
portfolio prioritization road map. The strategy is summarized as
Reference vehicle identification from AVD Database;
Reference vehicle decomposition into technology portfolio;
82
Candidate vehicle composition from technology portfolio;
Candidate vehicle portfolio assessment;
Project vehicle selection.
Figure 5-2 Technology Acquisition Portfolio Prioritization Roadmap (Chudoba, 2015)
5.4.1 Reference Vehicle Identification from AVD Database
A primary literature search has been conducted to identify relevant past and
present data and knowledge related to the planning and development of hypersonic
technology demonstrators. A systematic literature survey, has been an ongoing effort
throughout the existence of the ASE Laboratory. Source for accessing normal and radical
design data and knowledge have been (a) public domain literature, (b) organization internal
sources, and (c) expert advice. For efficient handling of design related data and
information, a dedicated computer-based aircraft conceptual design data-base (AVD-DB)
has been developed (Haney 2016). This system handles disciplinary and inter-disciplinary
literature relevant for conceptual design (methodologies, flight mechanics, aerodynamics,
etc.), interview-protocols, flight vehicle case study information (descriptive-, historical-,
numerical information on conventional and unconventional flight vehicle configurations),
83
simulation and flight test information, etc. The overall requirement for the creation of the
AVD-DB has been simplicity in construction, maintenance, and operation, to comply with
the underlying time constraints.
The system has been used to identify a listing of reference vehicle with
technologies relevant to the GHV type mission. The vehicles chosen have suitably
selected, structured, and condensed flight vehicle conceptual design data and information.
The research goal, to develop an air-breathing hypersonic technology demonstrator
requires accounting for as many design-related interactions as necessary, since the
rationale for the evolution of aircraft is diverse as a quick browse through aviation history
reveals. In order to decrease the overall risks towards a failing acquisition program, it is
important to select technologies with successful track records or high potential. Figure 5-3
shows the reference vehicle list selected from the AVD-DB. The feasibility era represents
vehicles that have had previous engineering and/or flight test success, while the maturation
era identifies vehicles with potential towards the next generation of hypersonic flight
demonstrators.
.
Figure 5-3 Vehicle Decomposition – Reference Vehicle Listing
X-43 [1994 – 2004]X-51 [2005 – 2013]
X-15 [1954 – 1970]
FEASIBILITY ERA MATURATION ERA
HYFAC 221 [1970]
X-24C L301 [1977]
HIFiRE 6
GHV
Falcon HTV-3x
+
84
5.4.2 Reference Vehicle Decomposition into Technology Portfolio
The reference vehicles are used to build the technology portfolio for acquisition
assessment. Figure 5-4 shows the decomposition methodology for defining the technology
portfolio. This methodology is based on the product decomposition blocks defined in the
current research undertaking. The primary focus of the portfolio being defined is technology
hardware. The primary hardware function types used to define the portfolio are: (1) lift
source, (2) stability & control device, (3) thrust source, (4) landing system, and (5) thermal
protection System (TPS). AVDDBMS is utilized to decompose the reference vehicles into
their constituent hardware technologies. Figure 5-5 shows the resulting technology
portfolio. Table 5-1 shows the attributes of the lift and thrust source technologies.
Figure 5-4 Reference Vehicle Decomposition Methodology
85
Figure 5-5 Reference Vehicle Decomposition into functional hardware
Function Hardware
GH
V
X-2
4C
-L3
01
HY
FAC
22
1
San
ger
II
X-4
3 C
X-5
1A
Cru
ise
r
HIF
iRE
6
Falc
on
HTV
-3x
Tota
l
All-Body x x x 3
Blended Body x x x 3
Wing Body x x 2
Twin Tail x x x x x 5
X-tail x x x 3
Elevons x x x x x 5
Rocket x 1
Ramjet x 1
SCRAMjet x x x x x 5
DMSJ 0
Turbo-Ramjet x x 2
Tricycle Gear x x 2
Chute x 1
Active 0
Passive x x x x x x x x 8
Thrust
Source
Landing
System
Thermal
Protection
Lift Source
Stability &
Control
86
Table 5-1 Lift and Thrust Source Technology Portfolio Attributes
Function HW Attribute GHV X-24C-L301 HYFAC 221 X-43 C X-51A Cruiser HIFiRE 6 HTV-3x
Lift Body Waverider No No No No No No No
Nose Blunt Spherical Spherical Sharp Sharp
Nose Shape Cone Cone Spatula Spatula
Under Body Flat Round & Flat Flat Bottom Flat Bottom Flat Bottom Flat
Cross Section Circular FDL-8H Elliptic Rectangular Rectangular Circular
TPS Material T.D. NiCr, radiation shingle
Carbon-Carbon, TUFI/AETB,
Haynes
BLA-S, BLA-HD, BRI-16, FRSI, SIP
Structure LockAlloy Aluminum Tungsten, Steel,
Aluminum
Tungsten, Inconel, Titanium, Aluminum, Steel,
Composite hot structure
Wing Waverider Yes No Yes No
Planform Cropped Delta Cropped Delta Cropped Delta Double Delta
Position Low Low Low Low
Aspect Ratio Low Low Low Low
Sweep Swept Back Swept Back Swept Back Swept Back
Structure LockAlloy
Thrust Scramjet Engine Name HyTech HyTech
Inlet 3-D Inward
Turning 2-D 2-D Planar 2-D Planar
3-D Inward Turning
Isolator 3-D 2-D 2-D 3-D
Combustor 3-D 2-D 2-D 3-D
Nozzle 3-D 2-D 2-D 2-D 3-D
Ramjet Engine Name MA145
Inlet 2-D
Combustor 3-D
Nozzle 3-D
Rocket Engine Name LR-105, LR-101
87
5.4.3 Candidate Vehicle Composition from Technology Portfolio
Although the portfolio of technologies has merit in itself, the desired product of the
acquisition study is a prospective hypersonic vehicle demonstrator. Consequently, these
technologies need to be combined in a syntactical sound manner to compose vehicles.
The resulting vehicles are candidates for acquisition. Figure 5-6 shows the methodology
for composing vehicles. The concept of shell vehicles for aerospace vehicle portfolio
definition is discussed in Section 3.2.1.4. The shell vehicles are used to define vehicle
configurations without attribute details. After the definition of these shells, the technology
portfolio is combined with the shell vehicles to form candidate vehicles. This process is
automated using AVDDBMS as described by Oza (2016). Table 5-2 shows the resulting shell
vehicles, while, Table 5-3 and Table 5-4 show the final candidate vehicle portfolio.
Figure 5-6 Candidate Vehicle Synthesis Methodology
88
Table 5-2 Technology Portfolio Definition Shell Vehicles
Table 5-3 Candidate Vehicle Portfolio
Lift Source All-Body All-Body Blended Body Blended Body Wing Body Wing Body
Stability & Control X-Tail X-Tail Twin Tail &
Elevons
Twin Tail &
Elevons
Twin Tail &
Elevons
Twin Tail &
Elevon
Thrust Source SCRAMjet SCRAMjet SCRAMjet SCRAMjet SCRAMjet SCRAMjet
Landing System Tricycle Parachute Tricycle Parachute Tricycle Parachute
Thermal Protection
System
Passive Passive Passive Passive Passive Passive
Shell
Package #5
Shell
Package #6
Shell
Package #4
Function Shell
Package #1
Shell
Package #2
Shell
Package #3
X-24C L301TPS Concept
X-24C L301TPS Concept
X-24C L301TPS Concept
X-24C L301TPS Concept
X-24C L301TPS Concept
X-24C L301TPS Concept
X-24C L301TPS Concept
X-24C L301TPS Concept
X-24C L301TPS Concept
X-24C L301TPS Concept
X-24C L301TPS Concept
X-24C L301TPS Concept
89
Table 5-4 Candidate Vehicle Portfolio (Cont’d)
5.4.4 Candidate Vehicle Portfolio Value Assessment
The candidate vehicle portfolio defined consists of vehicles with both, high risk and
low risk technologies. The acquisition problem objective is to maximize technology
investment value while minimizing risks. Figure 5-7 shows the portfolio value assessment
methodology described by Oza (2016). It is a combination of the technology acquisition
techniques described in Chapter 1. It involves the integration of the Technology Readiness
Levels (TRL), Integration Readiness Levels (IRL) and Advanced Degree of Certainty (ADC)
into the technology portfolio to facilitate the composition of candidate vehicle TRL-ratings
and risks. In order to manage uncertainties that may exist, best case, worst case and most
X-24C L301TPS Concept
X-24C L301TPS Concept
X-24C L301TPS Concept
X-24C L301TPS Concept
X-24C L301TPS Concept
X-24C L301TPS Concept
X-24C L301TPS Concept
X-24C L301TPS Concept
X-24C L301TPS Concept
X-24C L301TPS Concept
X-24C L301TPS Concept
X-24C L301TPS Concept
90
likely scenarios are considered. Figure 5-8 shows the candidate vehicle portfolio
assessment results. Although candidate vehicles CV6 and CV10 have the highest
composite TRLs, CV6 has a lower variance in TRL. (Oza, 2016) provides more detail about
the portfolio assessment result.
Figure 5-7 Portfolio Value Assessment Methodology
Figure 5-8 Composite Candidate Vehicle TRL for risk scenarios
5.4.5 Project Vehicle Selection
CV10 has been selected as the most desirable technology combination to develop
into a flight vehicle project. This selection is based on candidate portfolio value assessment
1 2 3 4 5 6
KEY RESULT: Assess overall portfolio value and risk trends and sensitivities to measure technology performance and potential for growth
1
Zoom Out
Technology Sensitivity Analysis Technology Scenario-based Evaluation Portfolio Performance
1 2 3
Candidate Vehicle
Hardware Component: Data Generation
Hardware Component Families: Data Generation
Technology Readiness Level
Advancement Degree of
Difficulty
Technology Readiness Level
Advancement Degree of
Difficulty
+
Technology Readiness Level
X Integration Readiness Level
Candidate Vehicle
Acquisition Scenarios: Data Generation
Acquisition Scenarios Matrix: Data Generation
MOST LIKELY CASE VALUES
Technology Readiness Level
Integration Readiness Level
Adv. Degree of Difficulty
System Readiness Level
Manufacturing Readiness Level
WORST CASE VALUES
Technology Readiness Level
Integration Readiness Level
Adv. Degree of Difficulty
BEST CASE VALUES
Technology Readiness Level
Integration Readiness Level
Adv. Degree of Difficulty
1 2 3 4 5 6 7 8 9
AD
D IR
L T
RL
40
50
60
70
80
90
100
1 2 3 4 5 6 7 8 9
Ad
van
cem
en
t D
egr
ee
of
Dif
ficu
lty
to T
RL=
6
Current Candidate Vehicle TRL
2500
2499
2498
2497
2496
2495
2494
2493
2492
2491
2490
2489
2488
2487
2486
2485
2484
2483
2482
2481
2480
2479
2478
Unacceptable – Too Risky Acceptable DesirableToo well Known for Adv.
Tech Demonstrator
Technology Risk Envelope
Technology Risk Overview
2476
2477
2478
2479
2480
2481
2482
2483
2484
2485
2486
2487
2488
2489
2490
2491
2492
2493
2494
2495
2496
2497
2498
2499
2500
2501
2.5 3 3.5 4 4.5 5
Can
did
ate
Ve
hic
le ID
Candidate Vehicle TRL
ML IRL
WC IRL
BC IRL
23.9%
30.9%
20.4%
34.9%
31.8%
20.7%
29.2%
26.2%
26.0%
30.9%
30.9%
29.9%
17.6%
25.1%
22.0%
23.1%
27.3%
27.3%
22.2%
21.6%
27.3%
31.8%
24.2%
28.5%
-17.7%
-18.0%
-16.8%
-20.9%
-17.0%
-14.7%
-18.2%
-14.3%
-13.9%
-25.8%
-22.7%
-13.9%
-14.1%
-21.7%
-20.8%
-13.3%
-25.1%
-22.2%
-20.8%
-16.8%
-25.9%
-17.8%
-25.3%
-17.6%
-40% -20% 0% 20% 40%
CV15
CV03
CV11
CV17
CV18
CV16
CV21
CV22
CV24
CV13
CV01
CV04
CV12
CV23
CV07
CV20
CV09
CV05
CV19
CV08
CV14
CV02
CV10
CV06
% Change in TRL
Impact of BC and WC Scenarios
41.6%
48.9%
37.2%
55.9%
48.8%
35.5%
47.3%
40.5%
39.9%
56.7%
53.6%
43.7%
31.7%
46.8%
42.8%
36.4%
52.4%
49.5%
43.1%
38.4%
53.2%
49.6%
49.5%
46.0%
0% 20% 40% 60%
CV15
CV03
CV11
CV17
CV18
CV16
CV21
CV22
CV24
CV13
CV01
CV04
CV12
CV23
CV07
CV20
CV09
CV05
CV19
CV08
CV14
CV02
CV10
CV06
% Change in TRL
Variation due to BC and WC Scenarios
2.91
3.04
3.05
3.08
3.09
3.13
3.16
3.17
3.21
3.23
3.23
3.26
3.28
3.30
3.33
3.36
3.39
3.39
3.44
3.55
3.60
3.60
3.77
3.77
0 1 2 3 4
CV15
CV03
CV11
CV17
CV18
CV16
CV21
CV22
CV24
CV13
CV01
CV04
CV12
CV23
CV07
CV20
CV09
CV05
CV19
CV08
CV14
CV02
CV10
CV06
ML Candidate Vehicle TRL
Candidate Vehicle TRL Comparison
91
and other considerations. Although CV6 has equal TRL and lower TRL variance than
CV10, the choice of landing system hardware was the deciding factor. A landing gear
system as opposed to a recovery parachute is perceived to be more conducive for vehicle
reuse. Figure 5-9 shows the characteristics of CV10 and the potential feasibility space that
should be explored.
Figure 5-9 Characteristics of Candidate Vehicle 10
5.5 Part 2: Conceptual Design Parametric Sizing
CV10 has been chosen for a follow-on conceptual design study based on the
results of the technology portfolio value assessment. The conceptual design sequence
consists of three individual phases executed in sequence: (1) parametric sizing (PS), (2)
configuration layout (CL), and (3) configuration evaluation (CE) (see Figure 2). For the
demonstration of AVDDBMS, only parametric sizing is executed aimed at exploring the
feasible trade space for the technology acquisition study. The sequence of the parametric
sizing study is organized as follows:
Resulting Trade Volume
Hardware
• Thrust Source[ 2-D Scramjet ]
• Lift Source
[ Blended Body]
Mission
• Endurance Time [ 10 – 30 min ]
• Payload
[ 0 – 1,500 lbs ]• Speed
[ Mach 5 – 8 ]
Operational Requirements
• Carrier Vehicle [ F-15 – B-52 ]
• Booster
[ External ]• Landing Option
[Runway ]
~TRL: 3.77
ΔTRL: 49.5%
92
Decomposition of synthesis systems at the ASE Laboratory;
Composition of sizing CMDS for CV10;
Visualization of CV 10 feasibility solution space.
5.5.1 Decomposition of Synthesis Systems at ASE Laboratory
The purpose of the synthesis system decomposition is to increase the AVDDBMS
sizing capability by populating it with products, processes and methods from existing
synthesis systems. The ASE Laboratory has access to a range of synthesis systems based
on years of building a parametric process library (Coleman 2010). Figure 5-10 shows one
of the synthesis systems available, AVDS. It is a best-practice design-to-mission sizing
process capable of first-order solution space screening of a wide variety of conventional
and unconventional vehicle configurations (Coleman 2010). AVDS relies on a robust
disciplinary methods library for analysis and a unique multi-disciplinary sizing logic and
software kernel enabling data storage, design iterations, and multi-disciplinary process
convergence. Figure 5-11 and Figure 5-12 show a snapshot of the products, analysis
process and method libraries populated by using the AVDDBMS decomposition forms
discussed in Section 4.2.
Figure 5-10 Overview of AVDS Synthesis System (Coleman 2010)
AVDsizing
Weight budget: compute OWEw
Volume budget: compute OWEv
Iterate Spln until OWEw and OWEv converge
Iterate for each t specified
Iterate over any independent design
variable
Geometry
Constraint Analysis: T/W=f(W/S)
Trajectory:
ff=f(trajectory,aero,propulsion)
Fundamental Sizing Steps
Sizing LogicOEW esitmationTrajectory
Anlaysis
Convergence
Logic
Constraint
Anlaysis
Constraints
Take-off
Approach
speed
(W/S)TO
Feasible solution
space
Cruise
Aborted Landing OEI
2nd
Segment Climb OEI
Current Design Point
Current (W/S)TO
Required
(T/W)TO
Trajectory
93
Figure 5-11 Design Mapping Matrix of AVDDBMS Product Library
**A
dd N
ew
**
HY
FA
C 2
00
HY
FA
C 2
01
HY
FA
C 2
04
HY
FA
C 2
05
HY
FA
C 2
06
HY
FA
C 2
07
HY
FA
C 2
10
HY
FA
C 2
11
HY
FA
C 2
12
HY
FA
C 2
13
HY
FA
C 2
14
HY
FA
C 2
20
HY
FA
C 2
21
HY
FA
C 2
31
HY
FA
C 2
32
HY
FA
C 2
33
HY
FA
C 2
34
HY
FA
C 2
50
HY
FA
C 2
51
HY
FA
C 2
52
HY
FA
C 2
53
HY
FA
C 2
54
HY
FA
C 2
55
HY
FA
C 2
56
HY
FA
C 2
57
HY
FA
C 2
70
HY
FA
C 2
71
HY
FA
C 2
80
HY
FA
C 2
81
HY
FA
C 2
82
HY
FA
C 2
84
HY
FA
C 2
85
HY
FA
C 2
90
HY
FA
C 2
91
HY
FA
C 2
92
VA
B A
ir-launched H
ydro
gen
VA
B A
ir-launched H
ydro
gen 2
Qs
VA
B A
ir-L
aunched K
ero
sene
VA
B E
xpendable
Booste
r H
ydro
gen
VA
B E
xpendable
Booste
r K
ero
sene
All Body 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
Wing Body 1 1 1 1 1 1 1 1 1
Thermal Protection Heat Shingles 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
** Ramjet ** 1 1 1 1 1
** RamScramjet ** 1 1 1 1 1 1 1 1 1 1 1 1 1
** Rocket ** 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
** Turbojet ** 1 1 1 1 1 1
** TurboRamjet ** 1 1 1 1 1 1 1
Volume Supply ** Integral Tank ** 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
Air Launch 1 1 1 1 1 1 1 1 1 1 1 1
Booster Launch 1 1 1 1 1 1 1
Horizontal Takeoff 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
Vertical Takeoff 1 1
Constant Q Climb 2 1 2 1 1 1
Constant Altitude Acceleration 1 1 1 1
Constant Mach Endurance Cruise 1 1 1 1 1
Constant Mach Range Cruise 1
Gliding Descent 1 1 1 1 1 1
Air Snatch 1
Parachute Landing 1 1 1 1
Powered Landing 1 1 1 1 1 1 1 1 1 1 1 1 1 1
Unpowered Landing 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
Subsonic 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
Supersonic 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
Transonic 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
Hypersonic 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
Mission Type Point-to-Point 1 1
Manned 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
Unmanned 1 1 1 1 1 1 1 1
Aerozine 50 (Liquid) 1 1 1
Hydrogen (Cryogenic Liquid) 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
JP-5 (Liquid) 1 1 1 1 1 1 1 1 1
Air (N/A) 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
Nitrogen Tetroxide (Liquid) 1 1 1
Oxygen (Cryogenic Liquid) 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
Product
Operational
Requirements
Product DMM
Human Rating
Fuel (Storage State)
Oxidizer (Storage
State)
Mission Speed
Functional
Subsystems
Operation
Events
Mission Segment
Thrust Source
Lift Source
ProductBlocks
Product List
Product Attributes
94
Figure 5-12 Design Mapping Matrix of AVDDBMS Process and Method Librarires
**A
dd N
ew**
_AG
1
VA
B P
roce
ss
VA
B P
roce
ss_A
G6
VA
B P
roce
ss_A
G7
VA
B P
roce
ss_A
G8
SPLN 1 1 1 1 1
WS 1 1 1 1 1
ALT
AMACH
AOA
THRL_VAR
V
AERO 3 3 3 3 3
FLTCON 1 1 1 1 1
GEO 2 2 2 2 2
PM 5 5 5 5 5
PROP 4 4 4 4 4
WB 6 6 6 6 6
ACAP 2 2 2 2 2
AIP 6 6 6 6
AISP 4 4 4 4 4
AISTR 6 6 6 6 6
AKSTR 6 6 6 6
AKW 2 2 2 2 2
AKW0 2 2 2 2
AL 2 2 2 2 2
ALC_AL 2 2
ALT 4 4 4 4 4
AMACH 3 3 3 3 3
AOA 3 3 3 3 3
AOA 4 4 4 4 4
BPLN 2
CD 3 3 3 3 3
CL 3 3 3 3 3
CS_SPAT 2 2
FF 5 5 5 5 5
FT_AVAIL 4 4 4 4 4
FT_MAX_HW 5 5 5 5
HC_LC 2 2
OF 4 4 4 4
OWE_V 6 6 6 6 6
OWE_W 6 6 6 6 6
RANGE 5
SFSPLN 2 2 2 2
TAU 2 2 2 2
THETA1_RAMP 2 2
THRL_VAR 4 4 4 4 4
TOGW 6 6 6 6 6
V 4 4 4 4 4
WR 5 5 5 5 5
OWE_V - OWE_W = 0 1 1 1 1 1
WS - TOGW / SPLN = 0 1 1 1 1 1
Analysis Process
Process DMM
Discpline Run
Order
Disciplinary
Effects
Objective
Function
Independent
Variables
Disciplinary
DependenciesProcess Attributes
ProcessBlocks
Process List
AE
RO
_MD
0001
AE
RO
_MD
0002
AE
RO
_MD
0003
AE
RO
_MD
0004
FLT
CO
N_M
D00
01
GE
O_M
D00
01
PM
_MD
0001
PM
_MD
0002
PM
_MD
0003
PM
_MD
0004
PM
_MD
0005
PM
_MD
0006
PM
_MD
0007
PM
_MD
0008
PM
_MD
0009
PR
OP
_MD
0001
PR
OP
_MD
0003
PR
OP
_MD
0004
WB
_MD
0001
All Body 1 1 1 1 1
Wing Body 1 1 1
Thermal Protection Heat Shingles 1 1
** Ramjet ** 1
** RamScramjet ** 1
** Rocket ** 1 1
** Turbojet ** 1
** TurboRamjet ** 1
Volume Supply ** Integral Tank ** 1
Air Launch 1 1
Booster Launch 1 1
Horizontal Takeoff 1 1
Vertical Takeoff 1 1
Constant Q Climb 1
Constant Altitude Acceleration 1
Constant Mach Endurance Cruise 1
Constant Mach Range Cruise 1
Gliding Descent 1
Air Snatch 1
Parachute Landing 1
Powered Landing 1
Unpowered Landing 1
Subsonic 1
Supersonic 1
Transonic 1
Hypersonic 1 1
Mission Type Point to Point
Manned 1 1 1 1 1
Unmanned 1 1 1 1 1
Aerozine 50 (Liquid) 1
Hydrogen (Cryogenic Liquid) 1
JP-5 (Liquid) 1
Air (N/A) 1
Nitrogen Tetroxide (Liquid) 1
Oxygen (Cryogenic Liquid) 1
AERO 1 1 1 1
FLTCON 1
GEO 1
PM 1 1 1 1 1 1 1 1 1
PROP 1 1 1
WB 1
ACAP 1
AIP 1
AISP 1 1 1
AISTR 1
AKSTR 1
AKW 1
AKW0 1
AL 1
ALC_AL 1
ALT 1
AMACH 1
BPLN 1
CD 1 1 1 1
CL 1 1 1 1
CS_SPAT 1
FF 1 1 1 1 1 1 1
FT_AVAIL 1 1 1
FT_MAX_HW 1 1 1 1 1 1 1
HC_LC 1
OF 1 1 1
OWE_V 1
OWE_W 1
RANGE 1 1 1 1 1 1 1
SFSPLN 1
TAU 1
THETA1_RAMP 1
TOGW 1
V 1
WR 1 1 1 1 1 1 1 1
Product
(Functional
Subsystems)
Product
(Operation
Events)
Product
(Operational
Requirements)
Method DMM
Process
Key Effects
Disciplines
Oxidizer (Storage
State)
Lift Source
Thrust Source
Mission Segment
Mission Speed
Human Rating
Fuel (Storage State)
Method Blocks
Method List
Method Attributes
Process Domain Mapping Matrix Method Domain Mapping Matrix
Product Blocks
95
5.5.2 Composition of Sizing CMDS for Candidate Vehicle 10
Gonzalez (2016) describes the capability of AVDDBMS to compose the custom
sizing CMDS for given conceptual design problems. In the context of the 2015 SFFP study,
CV10 has been chosen for the parametric sizing study based on results from the
technology portfolio value assessment in Section 5.4. CV10 is based on the X-24C (L-301)
lift source technology and X51A thrust source technology. A literature search identified the
characteristic dimensions of the vehicles including, fuselage length, height and width,
planform, root/tip chord, sweep angle and incidence angle. Based on this understanding,
the AVDDBMS CMDS composition form is executed. The composition steps are
Matching disciplinary methods to the given product and process;
Selecting most appropriate disciplinary methods from the matched list;
Arranging selected product, process and methods into CMDS blue print;
Generating customized CMDS executable.
The CV10 project vehicle and the AVDS analysis process were input into the
AVDDBMS CMDS composition form as product and process respectively. Table 5-5 shows
the objective function for AVDS process. The AVDS process poses an equation solution
problem to determine the planform area, Spln, and Wing loading, W/S, required for operating
weight estimates based on volume calculations, (𝑂𝑊𝐸)𝑉, to equal operating weight
estimates based on weight calculations, (𝑂𝑊𝐸)𝑊. AVDDBMS provides a list of matching
disciplinary methods for the parametric sizing problem.
Process Blocks Variable / Problem Type Equation/Symbol
Independent Variable Planform Area, ft2 𝑆𝑝𝑙𝑛
Independent Variable Wing Loading, N/ft2 𝑊
𝑆=
𝑇𝑂𝐺𝑊
𝑆𝑝𝑙𝑛
Dependent Variable Operating Weight Based on Weights Budget, N
(𝑂𝑊𝐸)𝑉 =𝑊𝐹𝑖𝑥 + 𝑊𝐸𝑛𝑔 + 𝑊𝑇𝑃𝑆
11 + 𝜇𝑎
−𝑊𝑠𝑡𝑟
𝑂𝐸𝑊− 𝐹𝑊𝑆𝑦𝑠
+ 𝑊𝑝𝑎𝑦𝑙𝑜𝑎𝑑
96
Dependent Variable Operating Weight Based on Volume Budget, N
(𝑂𝑊𝐸)𝑉 =𝑉𝑇𝑜𝑡𝑎𝑙 − 𝑉𝑆𝑦𝑠𝑡𝑒𝑚𝑠 − 𝑉𝐸𝑛𝑔 − 𝑉𝑆𝑡𝑟 − 𝑉𝑇𝑃𝑆 − 𝑉𝑉𝑜𝑖𝑑
𝑊𝑅 − 1𝜌𝑝𝑝𝑙 ∗ 𝑔0
Objective Function Equation Solution Problem
(𝑂𝑊𝐸)𝑉 − (𝑂𝑊𝐸)𝑊 = 0
(𝑊
𝑆)
𝐺𝑢𝑒𝑠𝑠 −
𝑇𝑂𝐺𝑊
𝑆𝑝𝑙𝑛
= 0
Table 5-6 shows the disciplinary methods selected from the matching list of
method. In the arranging step, Aero Methods 5, 6, 7 were arranged to execute during the
subsonic, transonic-supersonic and hypersonic flight regimes respectively. Figure 5-13
shows a Design Structure Matrix (DSM) of the resulting CV10 sizing CMDS blueprint. It
describes the flow of information during the execution of the CMDS.
Table 5-5 AVDS Analysis Process Objective Function Block
Process Blocks Variable / Problem Type Equation/Symbol
Independent Variable Planform Area, ft2 𝑆𝑝𝑙𝑛
Independent Variable Wing Loading, N/ft2 𝑊
𝑆=
𝑇𝑂𝐺𝑊
𝑆𝑝𝑙𝑛
Dependent Variable Operating Weight Based on Weights Budget, N
(𝑂𝑊𝐸)𝑉 =𝑊𝐹𝑖𝑥 + 𝑊𝐸𝑛𝑔 + 𝑊𝑇𝑃𝑆
11 + 𝜇𝑎
−𝑊𝑠𝑡𝑟
𝑂𝐸𝑊− 𝐹𝑊𝑆𝑦𝑠
+ 𝑊𝑝𝑎𝑦𝑙𝑜𝑎𝑑
Dependent Variable Operating Weight Based on Volume Budget, N
(𝑂𝑊𝐸)𝑉 =𝑉𝑇𝑜𝑡𝑎𝑙 − 𝑉𝑆𝑦𝑠𝑡𝑒𝑚𝑠 − 𝑉𝐸𝑛𝑔 − 𝑉𝑆𝑡𝑟 − 𝑉𝑇𝑃𝑆 − 𝑉𝑉𝑜𝑖𝑑
𝑊𝑅 − 1𝜌𝑝𝑝𝑙 ∗ 𝑔0
Objective Function Equation Solution Problem
(𝑂𝑊𝐸)𝑉 − (𝑂𝑊𝐸)𝑊 = 0
(𝑊
𝑆)
𝐺𝑢𝑒𝑠𝑠 −
𝑇𝑂𝐺𝑊
𝑆𝑝𝑙𝑛
= 0
Table 5-6 Disciplinary methods selected for composing CV10 Sizing CMDS
Discipline Sizing Name Method Title Reference
Flight Condition FLTCON_MD0001 Atmospheric Model (MINZNER et al. 1959)
Geometry GEO_MD0002 Hypersonic Air-breather Geometry (AFRL SFFP CV10).
(Chudoba 2010)
Aerodynamics AERO_MD0005 Hypersonic Convergence Aerodynamic Estimation Method - Subsonic
(Czysz 2004; Sforza 2016)
AERO_MD0006 Hypersonic Convergence Aerodynamic Estimation Method - Supersonic
(Czysz 2004; Sforza 2016)
97
AERO_MD0007 Hypersonic Convergence Aerodynamic Estimation Method - Hypersonic
(Czysz 2004; Sforza 2016)
Propulsion PROP_MD0008 HAP Stream Thrust SERN CEA (C2H4 - Air) Look-Up Table
(Heiser and Pratt 1994)
Performance Matching
PM_MD0001 Gliding Decent at Max L/D (Miele 1962)
PM_MD0003 Constant Q-Climb to an Altitude and Velocity at Small Flight Path Angles
(Miele 1962)
PM_MD0008 Constant Mach Range Cruise at Small Flight Path Angles
(Miele 1962)
PM_MD0009 Launch Methods using WR (Miele 1962)
PM_MD0010 Steady Level Turn (Vinh 1981)
Weight & Balance
WB_MD0003 Convergence OWE Estimation for Scramjet w/ Landing skids
(Czysz 2004; Harloff 1988)
98
Figure 5-13 Design Structure Matrix for CV10 sizing CMDS blueprint
5.5.3 Visualization of Candidate Vehicle CV10 Feasibility Solution Space
5.5.3.1 Solution Space Description
The objective of parametric sizing is to identify and visualize the feasibility solution
space of vehicles that satisfy a particular mission. A solution space is a dashboard
visualization of vehicle metrics in order to aid in decision-making. It is constructed by
plotting resulting metrics of fixed-mission sized vehicles with prescribed vehicle parameter
GEO
_M
D0
00
2
AER
O_
MD
00
05
AER
O_
MD
00
06
AER
O_
MD
00
07
PR
OP
_M
D0
00
8
PM
_M
D0
00
1
PM
_M
D0
00
3
PM
_M
D0
00
8
PM
_M
D0
00
9
PM
_M
D0
01
0
WB
_M
D0
00
3
OW
E_V
- O
WE_
W
WS
- TO
GW
/ S
PLN
SPLN
WS
AK
W
AL
ALL
E
BP
LN
SF SFSP
LN
SPLN
_SF
SWET
TAU
TAU
_SF
VP
VTO
TAL
CD
CL
AIS
P
FT_
AV
AIL
OF
FF THR
L_V
AR
_M
AX
WR
AIP
AIS
TR
OW
E_V
OW
E_W
TOG
W
GEO_MD0002 ○ ← ←
AERO_MD0005 ○ ← ← ←
AERO_MD0006 ○ ← ← ← ← ← ←
AERO_MD0007 ○ ← ← ←
PROP_MD0008 ○ ← ←
PM_MD0001 ○ ← ← ← ← ← ← ←
PM_MD0003 ○ ← ← ← ← ← ← ←
PM_MD0008 ○ ← ← ← ← ← ← ←
PM_MD0009 ○ ← ← ← ← ← ← ←
PM_MD0010 ○ ← ← ← ← ← ← ←
WB_MD0003 ○ ← ← ← ← ←
OWE_V - OWE_W ○ ← ←
WS - TOGW / SPLN ○ ← ← ←
SPLN ○
WS ○
AKW ← ○
AL ← ○
ALLE ← ○
BPLN ← ○
SF ← ○
SFSPLN ← ○
SPLN_SF ← ○
SWET ← ○
TAU ○
TAU_SF ← ○
VP ← ○
VTOTAL ← ○
CD ← ← ← ○
CL ← ← ← ○
AISP ← ○
FT_AVAIL ← ○
OF ← ○
FF ← ← ← ← ← ○
THRL_VAR_MAX ← ← ← ← ← ○
WR ← ← ← ← ← ○
AIP ← ○
AISTR ← ○
OWE_V ← ○
OWE_W ← ○
TOGW ← ○
Dis
cip
linar
y O
utp
uts
Var
iab
les
Complex Multidisciplinary
System DSM Blueprint and
Data Relationships
Selected Methods
Objective
FunctionSe
lect
ed
Me
tho
dO
bje
ctiv
e
Fun
ctio
n
99
variation. Figure 5-14 shows a sample solution space. it is constructed from vehicle gross
weight + booster weight in the y-axis and the vehicle planform area in the x-axis. Each
point on the space represents a vehicle converged to satisfy the objective function defined
in the analysis process. This continuum map shows the effect of increasing cruise time, 𝑡,
vehicle slenderness parameter, 𝜏, and payload weight, 𝑊𝑝𝑎𝑦.
Constraint lines can be added to the solution spaces to provide more interpretation
with respect to constraints and limitations. Figure 5-15 shows a sample solution space
constrained by maximum weights allowable by various carrier vehicles. The F-15 limit is
the maximum weight for a vehicle carried underneath an F-15. The B-52 limit is for under
the wing of a standard B-52 while the NB-52 A/B limit is for a modified B-52 with a
structurally reinforced wing. The NB-52 A/B limit is grayed out as the vehicle is no longer
in service. Figure 5-16 shows a sample solution space constrained by length and span
limits for vehicles carried under B-52H wing. These solution spaces constraints discussed
define the feasibility boundaries for the parametric sizing study.
Figure 5-14 Sample fixed-mission solution space
10000
20000
30000
40000
50000
60000
70000
80000
90000
001 002 003 004 005 006 007 008
Cru
ise
r G
ros
s W
eig
ht
+ B
oo
ste
r W
eig
ht
(lb
)
SPLN (m^2)
CV_10 Solution Space
0.080.09
0.110.1
12 min.
16 min.
21 min.
9 min.
0 lb
1333 lb
2666 lb
4000 lb
10000
20000
30000
40000
50000
60000
70000
80000
90000
100 200 300 400 500 600 700 800
Cru
ise
r G
ros
s W
eig
ht
+ B
oo
ste
r W
eig
ht
(lb
)
SPLN (ft2)
Design Summary
tcruise 9 min
Range 1388 km 749 nm
TOGW 48637 N 10934 lbs
Wppl 10073 N 2265 lbs
OEW 38564 N 8670 lbs
Wbooster 57274 N 12876 lbs
t 0.08
S pln 18.6 m2201 ft2
b 3.36 m 11 ft
l 9.90 m 32 ft
L/D
cruise 4.25
Isp cruise1177 sec
Isp_eff
climb 1206.50 sec
100
Figure 5-15 Sample fixed mission solution space with carrier weight constraints
Figure 5-16 Sample fixed mission solution space with carrier packaging constraints
5.5.3.2 CV10 Sizing Solution Space Results
Figure 5-17 shows the design mission parameters used in sizing CV10. After
airdrop, the vehicle climbs at a constant dynamic pressure of 1,500 lb/ft2 untill it reaches
the cruise altitude for the design Mach number. The vehicle then cruises at design Mach
10000
20000
30000
40000
50000
60000
70000
80000
90000
001 002 003 004 005 006 007 008
Cru
ise
r G
ros
s W
eig
ht
+ B
oo
ste
r W
eig
ht
(lb
)
SPLN (m^2)
CV_10 Solution Space
NB-52A/B Limit
22000B-52 Limit
0.080.09
0.110.1
12 min.
16 min.
21 min.
9 min.
X-24C
16000
F-15 Limit
0 lb
1333 lb
2666 lb
4000 lb
10000
20000
30000
40000
50000
60000
70000
80000
90000
100 200 300 400 500 600 700 800
Cru
ise
r G
ros
s W
eig
ht
+ B
oo
ste
r W
eig
ht
(lb
)
SPLN (ft2)
B-52 Length Limit
B-52 Span Limit
0 lb
1333 lb
2666 lb
4000 lb
30
40
50
60
70
80
90
5 10 15 20 25
Cru
ise
r L
en
gth
+ B
oo
ste
r L
en
gth
(ft
)
Cruiser Span (ft)
101
number for a specified endurance time, between 0 and 500 s. Afterwards, the vehicle
performs a 2 g turn towards base and cruises for the previously specified cruise endurance.
Finally, the vehicle glides at a constant altitude to decelerate to the equilibrium glide
velocity and equilibrium glides to landing altitude. The overshoot of base ensures that the
vehicle has sufficient fuel margin to return. Two design speeds, M6 and M7, have been
considered for this sizing study. Feasibility solution spaces are generated by varying cruise
time, 𝑡, vehicle slenderness parameter, 𝜏, and payload weight, 𝑊𝑝𝑎𝑦 for each design.
Figure 5-17 Design mission for CV10 solution space
Figure 5-18 and Figure 5-19 show the carriage weight feasibility space for a family
of M6 and M7 CV10 vehicles. These results show that all the booster mounted vehicles
are too heavy to be carried by existing carriage vehicles. Feasibility only exists if the B52H
is recommissioned or a new carriage vehicle is developed. Figure 5-20 and Figure 5-21
show the landing feasibility of the vehicle families. The results show that all M6 vehicles
can land on a runway, while all but the stout, 𝜏 = 0.11, M7 vehicles can safely land. Finally,
Figure 5-22 and Figure 5-23 show the carriage size feasibility solution spaces. These
results indicate that only some of the booster mounted M6 CV10 vehicles are small enough
to fit under the carrier vehicle wing (geometry limitation). It is shown that no M7 Vehicles
can fit the carrier vehicle.
Assumptions
• Point mass
• Spherical Earth
• Non-rotating earth
• 3DOF EOM
Flight Segment Method Parameters Segment Termination
1 Acceleration / Climb Constant Q-Climb to Altitude Q =1500 lb/ft2 Cruise Altitude
2 Cruise Constant Mach Cruise for Endurance Time = 0s, 166.6s, 333.3s, 500s Specified Endurance
3 Maneuver Steady Level turn to base n = 2g Heading toward Base
4 Cruise Constant Mach Cruise for Endurance Time = 0s, 166.6s, 333.3s, 500s Specified Endurance
5. Decent 1 Constant Altitude Glide at max L/D N/AEquilibrium Glide
Velocity
6. Decent 2 Equilibrium Glide at max L/D N/A Landing Altitude
Alt
itu
de
Downrange
Cro
ss
ran
ge
Downrange
1 2
3
45
6
1 2
3
4
5
6
Alt
itd
ue
Velocity
102
Figure 5-18 M6 CV10 carriage weight solution space
Figure 5-19 M7 CV10 carriage weight solution space
10000
20000
30000
40000
50000
60000
70000
80000
90000
001 002 003 004 005 006 007 008
Cru
ise
r G
ros
s W
eig
ht
+ B
oo
ste
r W
eig
ht
(lb
)
SPLN (m^2)
CV_10 Solution Space
NB-52A/B Limit
22000B-52 Limit
0.080.09
0.110.1
12 min.
16 min.
21 min.
9 min.
X-24C
16000
F-15 Limit
0 lb
1333 lb
2666 lb
4000 lb
10000
20000
30000
40000
50000
60000
70000
80000
90000
100 200 300 400 500 600 700 800
Cru
ise
r G
ros
s W
eig
ht
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Figure 5-20 M6 CV10 gross weight landing solution space
Figure 5-21 M7 CV10 gross weight landing solution space
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Figure 5-22 M6 CV10 carriage size solution space
Figure 5-23 M7 CV10 carriage size solution space
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105
5.6 Case Study Conclusion
The case study presented is an excerpt from a comprehensive research effort by
the ASE (Chudoba et al. 2015). Over the course of that study, ASE introduces a unique
product development capability to support decision makers at the acquisition and
technology maturation levels. Three types of solution spaces have been presented
including variations of two mission concepts, thirty-two operational scenarios and two
design speeds, two hardware (two lift sources, two thrust sources, two landing systems,
and two stability and control arrangements) package combinations. This has led to design
and technology relationships being established between 256 sized vehicles. Still, this
composes only a fraction of the mission, operation, and hardware combinations that should
be studied prior to an acquisition decision being made.
5.7 Chapter Summary
This chapter discussed a case study to demonstrate the application of the CMDS
decomposition methodology to a USAF relevant acquisition and conceptual design
problem. The design case study selected was based on the Generic Hypersonic Vehicle
(GHV) project initiated by AFRL to foster hypersonic vehicle design collaboration. The
acquisition problem posed was to determine the best aerospace technology investment to
solve the GHV mission. The conceptual design problem was to determine the technical
feasibility of the chosen technology investment. The CMDS decomposition tools amongst
other tools in AVDDBMS were used to arrive at a prioritized portfolio of candidate vehicle
based on relevant hypersonic demonstrator technologies. Candidate vehicle CV10, which
is based on X-24C lift source and X-51A thrust source technologies, was selected for
investment because of its technology maturity and landing gear system.
The technical feasibility of the CV10 vehicle was evaluated through a parametric
sizing study. The CMDS decomposition tools amongst other tools in AVDDBMS were used
106
to compose a custom CV10 sizing CMDS. The CMDS generated solution spaces for
families of CV10 based vehicles for Mach 6 and Mach 7 design speeds. The solution
spaces were explored to check the feasibility of the vehicles to land on a runway and to be
carried by existing carrier vehicle. Results indicated that none of the vehicles is small
enough to be carried by existing carrier vehicles. It also shows that M6 CV10 vehicles
without payload are feasible if the, now decommission, B52H is the carrier vehicle.
This case study demonstrated the benefit of the CMDS decomposition
methodology to acquisition and conceptual design. First, The CMDS building blocks
enabled the systematic and transparent composition of technology and candidate vehicle
portfolios. The building blocks established by the decomposition allowed the use a
combination of existing technology assessment techniques. Secondly, the decomposition
of existing synthesis systems into the AVDDBMS advanced the capability of the problem-
customize-sizing-tool generator. In summary, the CMDS building blocks are instrumental
in mapping the conceptual design problem to customize the sizing CMDS for the problem
at hand.
107
Chapter 6
RESEARCH CONCLUSION, CONTRIBUTION AND OUTLOOK
6.1 Conclusion
This research endeavor has been initiated in an effort to contribute to the fields of
aerospace technology acquisition and aerospace conceptual design. It is motivated by the
need to mitigate acquisition schedule and cost overruns caused by program management,
politics, supply chain, technical complexity and talent shortage problems. The mitigation
approach chosen has been to increase collaboration and transparency between
technology acquisition assessments and vehicle conceptual design synthesis. A dichotomy
exists between the two fields because state-of-the-art technology assessments utilize
system engineering methodologies that require conceptual designer to impute during the
stakeholder requirements definition phase. However, existing conceptual design synthesis
systems only accept requirements and do not offer methodologies to define them.
Secondly, Acquisition studies require assessment of diverse technology options in order to
arrive at design requirements. However, most synthesis systems have a narrow range of
applicability with reference to flight vehicle configuration, and other perturbations that
should be considered thus be analyzed. This results in the acquisition of technologies that
are well vetted for investment risks but insufficiently evaluated for technical feasibility.
The solution identified to solve the research problem is the development of a
common framework for technology acquisition assessment and conceptual design
synthesis. Due to the enormity of the problem, this framework has been developed in
conjunction with two other PhD researchers. The original contribution to this effort as
documented in the present report has been in the definition of the framework building
blocks. A literature survey has identified the concept of ‘complex multidisciplinary systems’
as the starting point to enable a general building block approach towards problem solving.
108
After this identification, a methodology has been developed for decomposing this block into
constituent parts for both acquisition and conceptual design problems. The product
decomposition blocks, analysis process decomposition block and disciplinary method
blocks are the main parts of the CMDS decomposition scheme presented in this research.
The biggest benefit of the formulation presented is that it enables both, aerospace
technology acquisition portfolio management and conceptual design parametric sizing tool
customization.
AVDDBMS is the software implementation of the unified acquisition and design
platforms. It is a database management software programmed in the MS Access and
MATLAB environment using VBA, SQL and MATLAB script languages. CMDS
decomposition is executed using the decomposition forms available in AVDDBMS. The forms
include product input, process input and disciplinary method input forms. Note that the
CMDS have a broad range of embodiments ranging from reference texts to parametric
sizing tools. As more CMDS are decomposed, the understanding of existing problems and
capability to address new challenges increase.
Finally, a case study has demonstrated the application of the CMDS
decomposition methodology to a relevant acquisition and conceptual design problem. Two
major benefits have been highlighted. First, the CMDS building blocks enabled the
systematic and transparent composition of technology and candidate vehicle portfolios.
The building blocks established by the decomposition allowed the use a combination of
existing technology assessment techniques. Secondly, the decomposition of existing
synthesis systems into the AVDDBMS advanced the ability to customize sizing tool
generation capabilities. The CMDS building blocks are instrumental in mapping the
conceptual design problem towards the customization of a problem-specific sizing tools.
109
6.2 Contributions and Benefits of CMDS Decomposition
The original contributions of this research are as follows:
Identification of complex multidisciplinary systems as common building block for
acquisition and conceptual design problems.
Development of a decomposition scheme reducing CMDS into constituent parts.
Design of the decomposition input forms recording CMDS in the AVDDBMS
framework.
Demonstration of the applicability of CMDS decomposition to a relevant acquisition
and conceptual design problem with USAF endorsement.
6.3 Future Work
The AVDDBMS framework is suitable for real world problems as is. However, there
are some areas can be improved for greater system capability. First, the decomposition of
CMDS is, so far, a manual process. It requires advanced understanding and effort to
decompose new CMDS or poorly described ones. The addition of an Artificial Intelligence
(AI) system to speed up the decomposition process will help mitigate this issue. Secondly,
only two levels of abstraction have been implemented in the decomposition concept in
order to reduce complexity. That is, only a single subsystem decomposition level exists in
addition to the system level. Therefore, if the product is an aircraft, it can only be
decomposed into the hardware level (e.g. scramjet, wing body, landing gear, etc.).
Although subsequent sublevels are captured as attributes, this conception is insufficient
for more complex problems. For example, consider the decomposition of multistage space
launcher. In this conception, the product is the complete vehicle and the subsystems are
the individual vehicle stages. The specification of an actual vehicle as a subsystem instead
110
of the vehicle hardware will not work with the methods in the database as they exist. Further
research is required to determine the best way to handle staged vehicles in the
decomposition methodology that has been developed.
111
METHODS LIBRARY SOURCE CODE
112
A.1 Aerodynamics
AERO_MD0005
%%%%%%%%% Pre-Allocate Outputs %%%%%%%%%
ALDMAX=zeros(size(AMACH));
ALIND=zeros(size(AMACH));
CD0=zeros(size(AMACH));
CLA=zeros(size(AMACH));
CL=zeros(size(AMACH));
CD=zeros(size(AMACH));
%%%%%%%%% Analysis %%%%%%%%%
SWET = AKW*SPLN;
ALIND(AMACH <= 0.8)=0.45; %from fig4-19
ALDMAX(AMACH <= 0.8)= sqrt(pi.*(ECDF/4).*(BPLN./SWET)); %eq on fig 4-13, ECDF
from the plot = 280
CD0(AMACH <= 0.8)=1./(4.*ALIND(AMACH <= 0.8).*ALDMAX(AMACH <= 0.8).^2);
CLA(AMACH <= 0.8)=0.024; %from fig 4-19
CL = CLA.*AOA;
CD = CD0 + ALIND.*CL.^2;
ALD = CL./CD;
AERO_MD0006
%%%%%%%%% Pre-Allocate Outputs %%%%%%%%%
ALDMAX = repmat(NaN,size(AMACH));
ALIND = repmat(NaN,size(AMACH));
CD0 = repmat(NaN,size(AMACH));
CLA = repmat(NaN,size(AMACH));
113
CL = repmat(NaN,size(AMACH));
CD = repmat(NaN,size(AMACH));
%%%%%% Regression Data %%%%%%%%%
AMACH_MAP=[1.5, 2.0, 6.0, 12.0];
TAU_MAP=[0.01118,0.041569219,0.051822958,0.064,0.076367532,0.088772738,0.10248638
4,0.117575508, ...
0.132574507,0.147369057,0.164316767,0.181019336,0.198252364,0.216,0.234247732, ...
0.252982213,0.272191109,0.29086856];
ALDMAX_MAP=[8.83,6.85,6.39,5.99,5.64,5.29,4.98,4.68,4.38,4.11,3.85,3.59,3.
34,3.10,2.86,2.61,2.37,2.15;
8.83,6.85,6.39,5.99,5.64,5.29,4.98,4.68,4.38,4.11,3.85,3.59,3.34,3.10,2.86,2.61,2.37,2.15;
8.50,6.32,5.90,5.53,5.19,4.87,4.59,4.31,4.07,3.80,3.56,3.35,3.12,2.89,2.68,2.46,2.26,2.06;
5.67,4.68,4.39,4.14,3.90,3.68,3.49,3.30,3.11,2.93,2.78,2.63,2.48,2.33,2.19,2.05,1.91,1.79];
% %%%%%%%%% Subsonic Analysis %%%%%%%%%
SWET = AKW*SPLN;
ALDMAXS = sqrt(pi.*(ECDF/4).*(BPLN./SWET));
ALINDS = 0.45;
114
CD0S = 1./(4.*ALINDS.*ALDMAXS.^2);
%%%%%%%%% Transonic Analysis %%%%%%%%%
SF=SPLN*SFSPLN;
if (SF/(AL^2) < 0.015)
DCDT_MAX=(1.3862*(SF/AL^2)+0.067)*SFSPLN*CDTW_COR;
else
DCDT_MAX=(0.9536*(SF/AL^2)^3-
1.916*(SF/AL^2)^2+1.3651*(SF/AL^2)+0.1119)*SFSPLN*CDTW_COR;
end
%%%%%%%%% Left side of M1.2 Analysis %%%%%%%%% Same for WB
and AB
CD0(AMACH >= 0.80 & AMACH < 1.2) = CD0S + DCDT_MAX./0.4.*(AMACH(AMACH
>= 0.80 & AMACH < 1.2)-0.8); % linear Drag rise Y = Y0 + m(x-x0)
ALDMAX(AMACH >= 0.80 & AMACH < 1.2)=0.5.*sqrt(1./(ALINDS.*CD0(AMACH >=
0.80 & AMACH < 1.2))); % (L/D)_max = sqrt(cd0/K') Approximation
%%%%%%%%% Right side of M1.2 Analysis %%%%%%%%% Same for AB and WB
CD_2M=1/(4*interp2(TAU_MAP,AMACH_MAP,ALDMAX_MAP,TAU,2.0,'spline').^2*ALINDS);
CD_12M=CD0S+DCDT_MAX;
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CD0(AMACH >= 1.2 & AMACH <= 2.0)=(CD_2M-CD_12M)./0.8.*(AMACH(AMACH >=
1.2 & AMACH <= 2.0)-1.2)+CD_12M; % linear Drag function Y = Y0 + m(x-x0) from M1.2 to M2
ALDMAX(AMACH >= 1.2 & AMACH <= 2.0)=0.5.*sqrt(1./(CD0(AMACH >= 1.2 &
AMACH <= 2.0)*ALINDS));
%%%%%%%%% Analysis %%%%%%%%%
% CLA(AMACH >= 0.80 & AMACH < 1.5)=(0.022-0.02)./(1.5-0.8).*(AMACH(AMACH
>= 0.80 & AMACH < 1.5)-0.8)+0.020; %Gary (WB)
CLA(AMACH >= 0.80 & AMACH < 1.2)= 0.0052.*AMACH(AMACH >= 0.80 & AMACH
< 1.2) + 0.0202; %Linear relation from excel file
%%%%%%%%% Analysis %%%%%%%%%
%CLA(AMACH >= 1.5 & AMACH <= 2.0)=0.03./AMACH(AMACH >= 1.5 &
AMACH <= 2.0).^0.75+0.00025; %Gary (WB)
CLA(AMACH >= 1.2 & AMACH <= 2.0)=0.0098.*AMACH(AMACH >= 1.2 &
AMACH <= 2.0) + 0.0379; %Linear relation from excel file
%ALIND(AMACH >= 0.8 & AMACH <= 2.0) = 0.47; %Approx Value
ALIND(AMACH >= 0.8 & AMACH <= 2.0)= 0.0651.*(AMACH(AMACH >= 0.8 &
AMACH <= 2.0).^2) - 0.0758.*AMACH(AMACH >= 0.8 & AMACH <= 2.0) + 0.4083; %Polynomial
expression from excel file
CL = CLA.*AOA;
CD = CD0 + ALIND.*CL.^2;
ALD = CL./CD;
AERO_MD0007
%%%%%%%%% Pre-Allocate Outputs %%%%%%%%%
116
ALDMAX = repmat(NaN,size(AMACH));
ALIND = repmat(NaN,size(AMACH));
CD0 = repmat(NaN,size(AMACH));
CLA = repmat(NaN,size(AMACH));
%%%%%% Regression Data %%%%%%%%%
AMACH_MAP=[1.5, 2.0, 6.0, 12.0];
TAU_MAP=[0.01118,0.041569219,0.051822958,0.064,0.076367532,0.088772738,0.10248638
4,0.117575508, ...
0.132574507,0.147369057,0.164316767,0.181019336,0.198252364,0.216,0.234247732, ...
0.252982213,0.272191109,0.29086856];
ALDMAX_MAP=[8.83,6.85,6.39,5.99,5.64,5.29,4.98,4.68,4.38,4.11,3.85,3.59,3.
34,3.10,2.86,2.61,2.37,2.15;
8.83,6.85,6.39,5.99,5.64,5.29,4.98,4.68,4.38,4.11,3.85,3.59,3.34,3.10,2.86,2.61,2.37,2.15;
8.50,6.32,5.90,5.53,5.19,4.87,4.59,4.31,4.07,3.80,3.56,3.35,3.12,2.89,2.68,2.46,2.26,2.06;
5.67,4.68,4.39,4.14,3.90,3.68,3.49,3.30,3.11,2.93,2.78,2.63,2.48,2.33,2.19,2.05,1.91,1.79];
%%%%%%%%% Subsonic Analysis %%%%%%%%%
SWET = AKW*SPLN;
ALDMAXS = sqrt(pi.*(ECDF/4).*(BPLN./SWET));
117
ALINDS = 0.45;
CD0S = 1./(4.*ALINDS.*ALDMAXS.^2);
%%%%%%%%% Transonic Analysis %%%%%%%%%
SF=SPLN*SFSPLN;
%DBCD0=interp1(C_SA,DBCD0_MAP,CS_SPAT,'spline');
%ALIND(AMACH >= 2.0)=(2.5-ALINDS)./(12.0-2.0).*(AMACH(AMACH >= 2.0)-
2.0)+ALINDS;
ALIND(AMACH >= 2.0 & AMACH <= 4.0)= 0.081.*(AMACH(AMACH >= 2.0 &
AMACH <= 4.0).^2) - 0.1515.*AMACH(AMACH >= 2.0 & AMACH <= 4.0) + 0.5199; % ?? % add
+ALINDS;
ALIND(AMACH >= 4.0)= 0.1685.*AMACH(AMACH >= 4.0) + 0.5255;
ALDMAX(AMACH >=
2.0)=interp2(TAU_MAP,AMACH_MAP,ALDMAX_MAP,TAU,AMACH(AMACH >= 2.0),'spline');
%same for WB and AB
CD0(AMACH >= 2.0 & AMACH <= 4.0)=1./(4.*ALDMAX(AMACH >= 2.0 &
AMACH <= 4.0).^2.*ALIND(AMACH >= 2.0 & AMACH <= 4.0)); % ?? %Does ALDMAX also go
from 2 to 4 even if it doesnt change from 2 to 12
CD0(AMACH >= 4.0)=1./(4.*ALDMAX(AMACH >= 4.0).^2.*ALIND(AMACH >=
4.0)); % For AB add : + DBCD0./sqrt(AMACH(AMACH >= 2.0).^2-1);
CLA(AMACH >= 2.0)=0.0001.*(AMACH(AMACH >= 2.0).^2) -
0.0029.*AMACH(AMACH >= 2.0) + 0.0243; %from excel file
118
CL = CLA.*AOA;
CD = CD0 + ALIND.*CL.^2;
ALD = CL/CD;
A.2 Propulsion
PROP_MD0008
%% Pre-Allocate HBE_LN
HBE_LN = repmat(NaN,size(THRL_VAR));
%% Pre-Allocate Outputs
AISP = repmat(NaN,size(THRL_VAR)); FT_AVAIL = repmat(NaN,size(THRL_VAR));
OF = repmat(NaN,size(THRL_VAR));
DUCT_PRESSURE = repmat(NaN,size(THRL_VAR)); F_MDOT = repmat(NaN,size(THRL_VAR));
%% Set Up Input Interpolation Arrays
PHI_FUEL = THRL_VAR.*PHI_FUEL_REF;
% Call SCRAM_PERF_LUT
[AISP(AMACH >= 4 & AMACH <= 8.0), F_MDOT(AMACH >= 4 & AMACH <= 8.0), DUCT_PRESSURE(AMACH >= 4 &
AMACH <= 8.0)] = SCRAM_PERF_LUT(ALT(AMACH >= 4 & AMACH <= 8.0), HBE_LN(AMACH >= 4 & AMACH <= 8.0), PHI_FUEL(AMACH >= 4 & AMACH <= 8.0), V(AMACH >= 4 & AMACH <= 8.0));
% Spillage/Additive Effect of Capture Area Ratio f(AMACH)
[A0_A1_SPILLAGE] = A0_A1_Billig(DMACH, AMACH);
% Contraction Area Ratio as a Function of AOA A1_A2_GEO = CR_GEO./cosd(AOA);
% Boundary Layer Displacement Thickness Effect of Capture Area Ratio A2_A3_BLDISPLACEMENT = A_A0_BLDISPLACEMENT;
% Effective Capture Area CR_EFF = A0_A1_SPILLAGE.*A1_A2_GEO.*A2_A3_BLDISPLACEMENT;
% Available Thrust FT_AVAIL = F_MDOT.*RHO.*V.*(CR_EFF).*ACAP;
%% SubFunction function [AISP, F_MDOT, DUCT_PRESSURE] = SCRAM_PERF_LUT(ALT, HBE_LN, PHI_FUEL, V)
%% Load Look Up Table Array Data
if exist('PROP_MD0008') == 0 load C:\AVDS\AVD_ABE\Utilities\Method_Data\PROP_MD0008.mat;
end
%% Look-Up Table Interpolation Arrays
PROP_ALT_MAP = PROP_MD0008.DISCPROC.PROP.OUTPUT.PROP_ALT_MAP;
PROP_HBE_LN_MAP = PROP_MD0008.DISCPROC.PROP.OUTPUT.PROP_HBE_LN_MAP; PROP_PHI_FUEL_MAP = PROP_MD0008.DISCPROC.PROP.OUTPUT.PROP_PHI_FUEL_MAP;
PROP_V_MAP = PROP_MD0008.DISCPROC.PROP.OUTPUT.PROP_V_MAP;
% NDGRID
[PROP_ALT_MAP, PROP_HBE_LN_MAP, PROP_PHI_FUEL_MAP, PROP_V_MAP] = ndgrid(PROP_ALT_MAP,...
119
PROP_HBE_LN_MAP,...
PROP_PHI_FUEL_MAP,...
PROP_V_MAP);
%% Interpolate For AISP, Specific Thrust, DUCT_PRESSURE AISP = interpn(PROP_ALT_MAP, PROP_HBE_LN_MAP, PROP_PHI_FUEL_MAP, PROP_V_MAP, ...
PROP_MD0008.HW.Scramjet_01.PROP.OUTPUT.AISP, ...
ALT, HBE_LN, PHI_FUEL, V,'spline');
F_MDOT = interpn(PROP_ALT_MAP, PROP_HBE_LN_MAP, PROP_PHI_FUEL_MAP, PROP_V_MAP, ...
PROP_MD0008.HW.Scramjet_01.PROP.OUTPUT.F_MDOT, ...
ALT, HBE_LN, PHI_FUEL, V,'spline');
DUCT_PRESSURE = interpn(PROP_ALT_MAP, PROP_HBE_LN_MAP, PROP_PHI_FUEL_MAP, PROP_V_MAP,
...
PROP_MD0008.HW.Scramjet_01.PROP.OUTPUT.DUCT_PRESSURE, ...
ALT, HBE_LN, PHI_FUEL,
V,'spline'); end
function [A0_A1] = A0_A1_Billig(DMACH, AMACH) DATA_S = ...
[5.1270356 0.3717109 5.809769 0.39194015
6.67132 0.42053854
7.5028367 0.44673762 8.423623 0.4765186
10.294952 0.53727454
12.01722 0.59085536 13.442756 0.63611245
14.512325 0.67186326
16.353342 0.7290146 18.106201 0.7874053
19.561771 0.8350617
21.135534 0.883878 22.175346 0.91843486
23.155369 0.94939846
24.135668 0.9815674 25.04978 0.9824202];
AMACH_S = DATA_S(:,1);
A0_A1_S = DATA_S(:,2);
A0_A1_REF = interp1(AMACH_S,A0_A1_S,DMACH,'pchip');
A0_A1_RAW = interp1(AMACH_S,A0_A1_S,AMACH,'pchip');
A0_A1 = A0_A1_RAW./A0_A1_REF;
end
A.3 Performance Matching
PM_MD0003
PM_MD0008
PM_MD0009
120
PM_MD0010
% % PREALLOCATE VECTORS AISP_EFF_V = zeros(TRAJ_NSTEP,1);
AISP_V = zeros(TRAJ_NSTEP,1);
AISP_V_HW = zeros(TRAJ_NSTEP,length(VEHICLE_HW)); ALD_V = zeros(TRAJ_NSTEP,1);
AMACH_V = zeros(TRAJ_NSTEP,1);
AN_V = zeros(TRAJ_NSTEP,1); AOA_V = zeros(TRAJ_NSTEP,1);
CD_V = zeros(TRAJ_NSTEP,1);
CD_V_HW = zeros(TRAJ_NSTEP,length(VEHICLE_HW)); CL_V = zeros(TRAJ_NSTEP,1);
CL_V_HW = zeros(TRAJ_NSTEP,length(VEHICLE_HW));
D_V = zeros(TRAJ_NSTEP,1); DGAM_V = zeros(TRAJ_NSTEP,1);
DPSI_V = zeros(TRAJ_NSTEP,1);
DR_V = zeros(TRAJ_NSTEP,1); DT_V = zeros(TRAJ_NSTEP,1);
DUCT_PRESSURE_V = zeros(TRAJ_NSTEP,1);
DW_V = zeros(TRAJ_NSTEP,1); DWF_V = zeros(TRAJ_NSTEP,1);
DWO_V = zeros(TRAJ_NSTEP,1);
DX_V = zeros(TRAJ_NSTEP,1); DY_V = zeros(TRAJ_NSTEP,1);
EDOT_V = zeros(TRAJ_NSTEP,1); EI_V = zeros(TRAJ_NSTEP,1);
FT_AVAIL_MAX_V = zeros(TRAJ_NSTEP,1);
FT_V = zeros(TRAJ_NSTEP,1); %FT_V_HW = zeros(TRAJ_NSTEP,length(VEHICLE_HW));
G_V = zeros(TRAJ_NSTEP,1);
GAMDOT_V = zeros(TRAJ_NSTEP,1); L_V = zeros(TRAJ_NSTEP,1);
OF_V = zeros(TRAJ_NSTEP,1);
OF_V_HW = zeros(TRAJ_NSTEP,length(VEHICLE_HW));
PSIDOT_V = zeros(TRAJ_NSTEP,1);
QBAR_V = zeros(TRAJ_NSTEP,1);
SELECTED_V_FUNCMODE = cell(TRAJ_NSTEP,length(VEHICLE_FUNCTION)); SIGMA_V = zeros(TRAJ_NSTEP,1);
W_V = zeros(TRAJ_NSTEP,1);
%INITIAL POINTS FROM TRAJECTORY
I = max(I_V);
% CALCULTE CHANGE IN AMACH PER STEP
V_START = V_V(I);
ALT_START = ALT_V(I); X_START = X_V(I);
Y_START = Y_V(I);
PSI_START = PSI_V(I)*DTR;
% ASSIGN CONTROL VARIABLES TO traj
AN_LIM = TRAJ_AN_MAX;
G = G0./(1 + ALT_START./RE).^2;
RTURN = V_START^2/sqrt(AN_LIM^2*G0^2-(G-V_START^2/(RE+ALT_START))^2); SIGMA = acos(1/(AN_LIM*G0)*(G-V_START^2/(RE+ALT_START)));
L0 = sqrt(X_START^2+Y_START^2);
THT0 = atan2(Y_START,X_START); if THT0 < 0
THT0 = 2*pi+THT0;
end THT3 = THT0+pi-(pi/2+PSI_START);
L1 = sqrt(L0^2+RTURN^2-2*L0*RTURN*cos(THT3));
THT1 = asin(RTURN/L1*sin(THT3));
121
THT2 = asin(RTURN/L1);
PSI_FINAL = THT0+THT1+THT2+pi;
% CALCULTE CHANGE IN ALT PER STEP
DPSI = (PSI_FINAL - PSI_START)/(TRAJ_NSTEP+1); PSI_V(I) = PSI_V(I)+DPSI/DTR;
% ITERATE FOR EACH ENERGY LEVEL
for CT = 1:TRAJ_NSTEP %ending at E(N+1) in order to store derivatives for E(N) %INPUTS FROM TRAJECTORY
I = max(I_V);
WR = WR_V(I); GAM = GAM_V(I)*DTR;
PSI = PSI_V(I)*DTR;
V = V_V(I);%sqrt((V_V(I+1).^2 + V_V(I).^2)/2); ALT = ALT_V(I);%(ALT_V(I+1) + ALT_V(I))/2;
%ANALYSIS
FLTCOND = fltcon(ALT,0,V,0);
QBAR=FLTCOND.QBAR; AMACH=FLTCOND.AMACH;
W = WS*SPLN/WR;
G = G0./(1 + ALT./RE).^2;
GAMDOT = 0;
L = W./(G0*cos(SIGMA)) .* (G - V.^2./(RE + ALT));
CL_REQ = L./(QBAR*SPLN);
AOA_OUT = fzero(@(AOA_IN) AOAFUNC(AOA_IN,ALT,V),0,optimset('Display','off','Diagnostic','off')); AOA = AOA_OUT;
D = QBAR.*CD*SPLN;
ALD = L/D;
AN = 0;
THRL_VAR = 1; FT_AVAIL_MAX = FT_AVAIL;
FT = W*(AN + D/W + G/G0*sin(GAM)); % Thrust requirement for max acceleration
if (FT_AVAIL_MAX < FT & INSUFF_THRUST_CHECK == 'Y' )
disp(' I ALT V GAM W FT_AVAIL_MAX FT D
G./G0.*sin(GAM)') disp([I ALT V GAM/DTR W FT_AVAIL_MAX FT D G./G0.*sin(GAM)])
error('INSUFFICIENT THRUST')
end
THRL_VAR_OUT = fsolve(@(THRL_VAR_IN) THRL_VARFUNC(THRL_VAR_IN, AOA,ALT,V,
FT),1,optimset('Display','off','Diagnostic','off','TolFun',1e-4)); THRL_VAR = THRL_VAR_OUT; % Change in THRL_VAR triggers code to call FT function
FT = FT_AVAIL; AISP = AISP;
OF = OF;
DUCT_PRESSURE = DUCT_PRESSURE; THRL_VAR_HW = zeros(size(FT_AVAIL_HW));
THRL_VAR_HW(FT_AVAIL_HW~=0) = THRL_VAR;
AISP_EFF = (FT - D - W*sin(GAM))/(FT/AISP);
ALT_NEXT = ALT; V_NEXT = V;
E0 = ALT_V(I)*RE/(RE+ ALT_V(I)) + V_V(I)^2/(2*G0);
EI = ALT_NEXT*RE/(RE+ALT_NEXT) + V_NEXT^2/(2*G0);
%% %%%%%%%%%%%%%%%%%
% CALCULATE DELTAS TO GET TO CURRENT POINT EDOT = V*AN;%sqrt((V^2+V_V(I+1)^2)/2)*AN;
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PSIDOT = AN_LIM*G0/V*sin(SIGMA);
XDOT = V*cos(GAM)*cos(PSI)*RE/(RE+ALT); YDOT = V*cos(GAM)*sin(PSI)*RE/(RE+ALT);
DT = DPSI/PSIDOT;
DW = - (FT/AISP)*DT; DWF = - DW/(1+OF);
DWO = OF*DWF;
WRNEXT = 1/(1/WR + DW/(WS*SPLN)); DX = XDOT*DT;
DY = YDOT*DT;
DR = sqrt(DX^2+DY^2); DGAM = GAMDOT*DT;
% ASSIGN VALUES AT CURRENT POINT I_V(I+1,1) = I+1;
ALT_V(I+1,1) = ALT;
FF_V(I+1,1) = FF_V(I) + DWF/(WS*SPLN);
GAM_V(I+1,1) = (GAM+DGAM)/DTR;
PSI_V(I+1,1) = (PSI+DPSI)/DTR;
TIME_V(I+1,1) = TIME_V(I)+DT; RANGE_V(I+1,1) = RANGE_V(I)+DR;
V_V(I+1,1) = V;
WR_V(I+1,1) = WRNEXT; X_V(I+1,1) = X_V(I) + DX;
Y_V(I+1,1) = Y_V(I) + DY;
FT_V_HW(I+1,:) = FT_AVAIL_HW; DUCT_PRESSURE_V_HW(I+1,:) = DUCT_PRESSURE_HW;
THRL_VAR_REQ_V_HW(I+1,:) = THRL_VAR_HW; TRAJSEG_V(I+1,1) = METHOD_TRAJSEG;
RANGE = RANGE_V(I+1,1); X_RANGE = X_V(I+1,1);
ENDURANCE = TIME_V(I+1,1);
WR = WR_V(I+1,1); FF = FF_V(I+1,1);
FT_MAX_HW = max(FT_V_HW,[],1);
DUCT_PRESSURE_MAX_HW = max(DUCT_PRESSURE_V_HW,[],1); THRL_VAR_MAX = max(max(THRL_VAR_REQ_V_HW,[],1));
AISP_EFF_V(CT,1) = AISP_EFF; AISP_V(CT,1) = AISP;
AISP_V_HW(CT,:) = AISP_HW;
ALD_V(CT,1) = ALD; AMACH_V(CT,1) = AMACH;
AN_V(CT,1) = AN;
AOA_V(CT,1) = AOA; CD_V(CT,1) = CD;
CD_V_HW(CT,:) = CD_HW;
CL_V(CT,1) = CL; CL_V_HW(CT,:) = CL_HW;
D_V(CT,1) = D;
DGAM_V(CT,1) = DGAM/DTR; DPSI_V(CT,1) = DPSI/DTR;
DR_V(CT,1) = DR;
DT_V(CT,1) = DT; DUCT_PRESSURE_V(CT,1) = DUCT_PRESSURE;
%DUCT_PRESSURE_V_HW(CT,1) = DUCT_PRESSURE_HW;
DW_V(CT,1) = DW; DWF_V(CT,1) = DWF;
DWO_V(CT,1) = DWO;
DX_V(CT,1) = DX; DY_V(CT,1) = DY;
EDOT_V(CT,1) = EDOT;
EI_V(CT,1) = E0; FT_AVAIL_MAX_V(CT,1) = FT_AVAIL_MAX;
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FT_V(CT,1) = FT;
%FT_V_HW(CT,:) = FT_AVAIL_HW; G_V(CT,1) = G;
GAMDOT_V(CT,1) = GAMDOT;
L_V(CT,1) = L; OF_V(CT,1) = OF;
OF_V_HW(CT,:) = OF_HW;
QBAR_V(CT,1) = QBAR; SELECTED_V_FUNCMODE(CT,:) = SELECTED_FUNCMODE;
SIGMA_V(CT,1) = SIGMA/DTR;
W_V(CT,1) = W; end
PSI_V(I+1,1) = (pi+atan2(Y_V(I+1),X_V(I+1)))/DTR; % Eliminate roundoff errors
%% SubFunction
function Err = AOAFUNC(AOA_IN,ALT,V)
AOA = AOA_IN; % Change in AOA triggers code to call CL function
ALT = ALT;
V = V; Err = CL-CL_REQ;
end
%% SubFunction
function Err = THRL_VARFUNC(THRL_VAR_IN, AOA,ALT,V, FT)
AOA = AOA; ALT = ALT;
V = V; THRL_VAR = THRL_VAR_IN; % Change in THRL_VAR triggers code to call CL function
Err = abs(FT-FT_AVAIL); endend
A.4 Weight & Balance
WB_MD0003
%%%%%% Analysis %%%%%%%%%
if WR < 1 WR
error('WR < 1 vehicle gained weight over trajectory')
end
%FT_MAX_HW = max(FT_V_HW);
WOX_WF = (1-1/WR)/FF - 1; RHO_PPL=(WOX_WF+1)/(WOX_WF/RHO_OX + 1/RHO_FUEL);
WENG_ALENG = ((1990-1210)/(100-10)*(DUCT_PRESSURE_MAX_HW/6894.75729-10) + (1210-1120)/(70-60)*(BENG/0.0254- 70)+1210)*0.45359237*G0/(3.4);
WENG = sum(WENG_ALENG*ALENG_MOD);
AKSTR=(0.317+EBAND)*TAU^0.206;
WSTR_OEW = AKSTR*SPLN^0.138;
% WEIGHT BUDGET CONSTANTS
%WCPRV=FCPRV*CREW;
%WOPER=85.0*ANCREW+FWPPRV*ANPAX; %FROM HOWE %WOPER=FPRV*(CREW*DAYS)^1.18;
WOPER=0;
WPAX = FWPAX*ANPAX;
WCREW = FWCREW*ANCREW;
WFIX = WUN+FWMND*ANCREW;
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WPAY = WPAX+WCARGO;
WLG = 0.00916*(WS*SPLN*WR/4.44822162)^1.124*4.44822162;
% WEIGHT BUDGET OEW = (1+AMUA)*(WSTR - WLG + WCHUTE + WENG + WSYS); WSYS = WFIX +
FWSYS*OEW; OEW_W = (WFIX+WENG+WLG) / (1/(1+AMUA)-WSTR_OEW-FWSYS);
OWE_W = OEW_W+WPAY+WCREW;
if ((1/(1+AMUA)-WSTR_OEW-FWSYS) < 0.0)
fprintf('AKSTR = %f\n',AKSTR);
fprintf('WR = %f\n',WR); fprintf('1/(1+AMUA) = %f\n',1/(1+AMUA));
fprintf('1/(1+AMUA)-WSTR_OEW-FWSYS = %f\n',(1/(1+AMUA)-WSTR_OEW-FWSYS));
fprintf('FWSYS = %f\n',FWSYS); fprintf('1/(1+AMUA)-WSTR_OEW-FWSYS = %f\n',1/(1+AMUA)-WSTR_OEW-FWSYS);
%WR
%1/(1+AMUA)
%TW0WR_ETW
%TW0WR_ETW_HW
%FT_MAX_HW %AKSTR*SPLN^0.138
%FWSYS
%(1/(1+AMUA)-AKSTR*SPLN^0.138-FWSYS-(TW0WR_ETW)) error('CONVERGENCE FAILURE:');
% 1/(1+AMUA),AKSTR*SPLN^0.138
% (TW0WR_ETW) end
% VOLUME BUDGET OWE
%VTOTAL = TAU*SPLN^1.5;
VFIX = VUN+AKVMND*ANCREW;
VSYS = VFIX+AKVS*VTOTAL;
VPAY = ANPAX*AKVPAX+(WCARGO/RHO_CARGO/G0); VCREW = (AKVCPRV+AKVCREW)*ANCREW;
VVOID = VTOTAL*AKVV;
% from VPPL = OWE_V*(WR-1)/(RHO_PPL*G0) = VTOTAL - VVOID - VSYS - VENG - VPAY - VCREW
OWE_V = (VTOTAL-VSYS- VP -VPAY-VCREW-VVOID)/((WR-1)/(RHO_PPL*G0));
AIP = RHO_PPL/(WR-1);
% WEIGHT AND VOLUME BREAKFORWN
OWE = OWE_W; OEW = OEW_W;
WSTR = AKSTR*SPLN^0.138*OEW_W; AISTR = WSTR/(SPLN*AKW);
TOGW = OWE*WR; WPPL = TOGW*(1-1/WR);
WFUEL = TOGW*FF;
WOX = WOX_WF*WFUEL; WP = WENG;
WSYS = WFIX + FWSYS*OEW;
AMZFW = OWE+WPAY; AMWE = OWE-WOPER-WCREW;
WMARGIN = OEW-(WOPER+WSYS+WSTR+WP);
%VP = TW0WR_KVE*OWE;
VENG = VP;
VPPL = WPPL/RHO_PPL/9.81; VFUEL = WFUEL/RHO_FUEL/9.81;
VOX = WOX/RHO_FUEL/9.81;
;
125
CV10 CMDS
126
B.1 Input File
%<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> % AVD_ABE Input File For AFRL_SFFP_CV10
%<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
function [Variable] = AFRL_SFFP_CV10 (Variable)
% *************************************************************************
% ArchGen: AFRL_SFFP_CV10 Control Variables % *************************************************************************
%Set X-Vector Variable for FZERO solver %********************************** % SPLN_INIT m^2 Planform area
% WS_INIT N/m^2 Wing loading (i.e. TOGW/S)
% X0 Numerical values for X-Vector %**************************************************************************
Variable.SYSPROC.INPUT.SPLN_INIT = 30;
Variable.SYSPROC.INPUT.WS_INIT = 3000; Variable.SYSPROC.INPUT.X0 = [Variable.SYSPROC.INPUT.SPLN_INIT, Variable.SYSPROC.INPUT.WS_INIT];
%Multipoint Variation %**************************************************** % MODE_DESIGN Design mode
% = 0 for Single Point Without Convergence
% = 1 for Multipoint Variation Without Convergence % = 2 for Single Point With Convergence
% = 3 for Multipoint Variation With Convergence % MV_NAMES Variables to be traded
% MV_init Initial value of trade variables
% MV_SS Variable step sizes % MV_NS Number of Steps
% *************************************************************************
Variable.SYSPROC.INPUT.MODE_DESIGN = 2; Variable.SYSPROC.INPUT.MV_NAMES =
{'Variable.HW.TotalVehicle.GEO.TotalVehicle_GEO_MD0002.INPUT.TAU','Variable.TRAJSEG.ConstantMachEnduranceCruise
_01_PM_MD0008.INPUT.ENDURANCE_CRUISE','Variable.HW.TotalVehicle.WB.TotalVehicle_WB_MD0003.INPUT.WCAR
GO'};
Variable.SYSPROC.INPUT.MV_init = [0.07,0,0];
Variable.SYSPROC.INPUT.MV_SS = [0.02,166.67,5930.7]; Variable.SYSPROC.INPUT.MV_NS = [3,3,3];
% ************************************************************************* % Constants
% *************************************************************************
%Constant %****************************************************************
%G0 m/s^2 Gravitational acceleration at sealevel
%DTR /degrees Conversion from degrees to radians %RE m Radius of the Earth
%**************************************************************************
Variable.SYSPROC.INPUT.G0 = 9.81; Variable.SYSPROC.INPUT.DTR = pi/180;
Variable.SYSPROC.INPUT.RE = 6371e3;
% *************************************************************************
% Look-Up Table Array Variables
% *************************************************************************
%Look-Up Table Input Arrays %**********************************************
%ALT_RANGE m Flight Altitude Range: [Start,End] %ALT_RES m Flight Altitude Resolution
%V_RANGE m/s Flight Velocity Range: [Start,End]
%V_RES m/s Flight Velocity Resolution %AOA_RANGE m Flight Altitude Range: [Start,End]
%AOA_RES m Flight Altitude Resolution
%THRL_VAR_RANGE m Flight Altitude Range: [Start,End]
127
%THRL_VAR_RES m Flight Altitude Resolution
%************************************************************************** Variable.SYSPROC.INPUT.ALT_RANGE = [0.1,26000];
Variable.SYSPROC.INPUT.ALT_RES = 2000;
Variable.SYSPROC.INPUT.V_RANGE = [0.1,2300]; Variable.SYSPROC.INPUT.V_RES = 300;
Variable.SYSPROC.INPUT.AOA_RANGE = [-2,12];
Variable.SYSPROC.INPUT.AOA_RES = 2; Variable.SYSPROC.INPUT.THRL_VAR_RANGE = [0.01,9];
Variable.SYSPROC.INPUT.THRL_VAR_RES = 0.1;
% *************************************************************************
% Geometry Disciplinary & Method Variables % *************************************************************************
%Method: GEO_MD0002 Hardware: TotalVehicle %****************************
%ALBURNER m Length of Burner (X-Dir)
%ALC_AL Ratio of length of compression surface to length of vehicle
%ALISO_HTHROAT Isolator Length to Height Ratio %ALT_CRUISE_DESIGN m Cruise Altitude at Design Point
%DMACH Design Mach number
%F_A_STOIC Stoichiometric Fuel to Air Ratio %HF KJ/kg Absolute sensible enthalpy of fuel entering combustor
%HPR_FUEL KJ/kg Heat of reaction for the fuel
%HTHROAT m Height of Engine Throat %NTECH NTECH SCRAMJET TECHNOLOGY LEVEL: (1 = OPTIMISTIC HYDROGEN; 2 = MODERATE
HYDROGEN; 3 = KEROSENE) %PHI_FUEL_REF Reference Fuel Equivalence Ratio
%T_FUEL_INJECT K Fuel Injection Temperature
%TAU Küchemann’s tau %THETA1_N degrees First nozzle angle
%THETA2_N degrees Second nozzle angle
%TPB_REF K Reference temperature to estimate the absolute static enthalpy %VF_V3 Ratio of fuel injection total velocity to V3 (combustion inlet)
%VFX_V3 Ratio of fuel injection axial velocity to V3 (combustion inlet)
%************************************************************************** Variable.HW.TotalVehicle.GEO.TotalVehicle_GEO_MD0002.INPUT.ALBURNER = 1.53;
Variable.HW.TotalVehicle.GEO.TotalVehicle_GEO_MD0002.INPUT.ALC_AL = 0.6;
Variable.HW.TotalVehicle.GEO.TotalVehicle_GEO_MD0002.INPUT.ALISO_HTHROAT = 20; Variable.HW.TotalVehicle.GEO.TotalVehicle_GEO_MD0002.INPUT.ALT_CRUISE_DESIGN = 26270;
Variable.HW.TotalVehicle.GEO.TotalVehicle_GEO_MD0002.INPUT.DMACH = 7;
Variable.HW.TotalVehicle.GEO.TotalVehicle_GEO_MD0002.INPUT.F_A_STOIC = 0.06763; Variable.HW.TotalVehicle.GEO.TotalVehicle_GEO_MD0002.INPUT.HF = 0;
Variable.HW.TotalVehicle.GEO.TotalVehicle_GEO_MD0002.INPUT.HPR_FUEL = 50291680;
Variable.HW.TotalVehicle.GEO.TotalVehicle_GEO_MD0002.INPUT.HTHROAT = 0.05; Variable.HW.TotalVehicle.GEO.TotalVehicle_GEO_MD0002.INPUT.NTECH = 2;
Variable.HW.TotalVehicle.GEO.TotalVehicle_GEO_MD0002.INPUT.PHI_FUEL_REF = 1;
Variable.HW.TotalVehicle.GEO.TotalVehicle_GEO_MD0002.INPUT.T_FUEL_INJECT = 750; Variable.HW.TotalVehicle.GEO.TotalVehicle_GEO_MD0002.INPUT.TAU = 0.09;
Variable.HW.TotalVehicle.GEO.TotalVehicle_GEO_MD0002.INPUT.THETA1_N = 22;
Variable.HW.TotalVehicle.GEO.TotalVehicle_GEO_MD0002.INPUT.THETA2_N = 9; Variable.HW.TotalVehicle.GEO.TotalVehicle_GEO_MD0002.INPUT.TPB_REF = 222;
Variable.HW.TotalVehicle.GEO.TotalVehicle_GEO_MD0002.INPUT.VF_V3 = 0.5;
Variable.HW.TotalVehicle.GEO.TotalVehicle_GEO_MD0002.INPUT.VFX_V3 = 0.5;
% *************************************************************************
% Aerodynamics Disciplinary & Method Variables % *************************************************************************
%Method: AERO_MD0005 Hardware: BlendedBody_01 %************************* %ECDF Ratio of square of oswald efeciency factor to skin friction drag coefficient (e^2/CDF). (HYFAC Vol
2pt2 fig 413 use 160, 200, 240, 280 for wing Body). 280 is recommed for very efficient vehicle
%************************************************************************** Variable.HW.BlendedBody_01.AERO.BlendedBody_01_AERO_MD0005.INPUT.ECDF = 280;
128
%Method: AERO_MD0006 Hardware: BlendedBody_01 %************************* %CDTW_COR Transonic drag rise correction factor
%ECDF Ratio of square of oswald efeciency factor to skin friction drag coefficient (e^2/CDF). (HYFAC Vol
2pt2 fig 413 use 160, 200, 240, 280 for wing Body). 280 is recommed for very efficient vehicle %**************************************************************************
Variable.HW.BlendedBody_01.AERO.BlendedBody_01_AERO_MD0006.INPUT.CDTW_COR = 1.0;
Variable.HW.BlendedBody_01.AERO.BlendedBody_01_AERO_MD0006.INPUT.ECDF = 280;
%Method: AERO_MD0007 Hardware: BlendedBody_01 %*************************
%ECDF Ratio of square of oswald efeciency factor to skin friction drag coefficient (e^2/CDF). (HYFAC Vol 2pt2 fig 413 use 160, 200, 240, 280 for wing Body). 280 is recommed for very efficient vehicle
%**************************************************************************
Variable.HW.BlendedBody_01.AERO.BlendedBody_01_AERO_MD0007.INPUT.ECDF = 280;
% *************************************************************************
% Propulsion Disciplinary & Method Variables
% *************************************************************************
%Method: PROP_MD0008 Hardware: Scramjet_01 %**************************** %A_A0_BLDISPLACEMENT Area Ratio of Viscous Captured Flow to Inviscid Captured Flow
%DMACH Design Mach number
%PHI_FUEL_REF Reference Fuel Equivalence Ratio %**************************************************************************
Variable.HW.Scramjet_01.PROP.Scramjet_01_PROP_MD0008.INPUT.A_A0_BLDISPLACEMENT = 0.95;
Variable.HW.Scramjet_01.PROP.Scramjet_01_PROP_MD0008.INPUT.DMACH = 7; Variable.HW.Scramjet_01.PROP.Scramjet_01_PROP_MD0008.INPUT.PHI_FUEL_REF = 1;
% *************************************************************************
% Performance Matching Disciplinary & Method Variables
% *************************************************************************
%Performance Matching Disciplinary Process Input Variables%****************
%TRAJ_ALT_V_START m Start Point For Vector of altitudes %TRAJ_FF_V_START Start Point For Vector of Fuel fractions
%TRAJ_GAM_V_START degrees Start Point For Vector of flight path angles
%TRAJ_PSI_V_START degrees Start Point For Vector of heading angles %TRAJ_RANGE_V_START m Start Point For Vector of total range
%TRAJ_TIME_V_START s Start Point For Vector of trajetory time
%TRAJ_TRAJSEG_V_START Start Point For Vector of current flight segment string %TRAJ_V_V_START m/s Start Point For Vector of vel
%TRAJ_WR_V_START Start Point For Vector of ratios of final mass at each point in the trajectory to init
%TRAJ_X_V_START m Start Point For Vector of position in x-directio %TRAJ_Y_V_START m Start Point For Vector of position in y-directio
%**************************************************************************
Variable.MISSION.INPUT.TRAJ_ALT_V_START = 21891; Variable.MISSION.INPUT.TRAJ_FF_V_START = 0.0;
Variable.MISSION.INPUT.TRAJ_GAM_V_START = 0.0;
Variable.MISSION.INPUT.TRAJ_PSI_V_START = 0; Variable.MISSION.INPUT.TRAJ_RANGE_V_START = 0.0;
Variable.MISSION.INPUT.TRAJ_TIME_V_START = 0.0;
Variable.MISSION.INPUT.TRAJ_TRAJSEG_V_START = {''}; Variable.MISSION.INPUT.TRAJ_V_V_START = 1481.5;
Variable.MISSION.INPUT.TRAJ_WR_V_START = 1;
Variable.MISSION.INPUT.TRAJ_X_V_START = 0; Variable.MISSION.INPUT.TRAJ_Y_V_START = 0;
%Method: PM_MD0009 Trajectory Segment: Booster Launch_01 %*************** %TRAJ_NSTEP Number of steps in current trajectory segment
%TRAJ_WR Ratio of final mass to initial mass for trajectory segment
%************************************************************************** Variable.TRAJSEG.BoosterLaunch_01_PM_MD0009.INPUT.TRAJ_NSTEP = 1;
Variable.TRAJSEG.BoosterLaunch_01_PM_MD0009.INPUT.TRAJ_WR = 1;
%Method: PM_MD0003 Trajectory Segment: Constant Q Climb_01 %*************
129
%INSUFF_THRUST_CHECK Check for inssufficient thrust in PM
%TRAJ_ALT_END Altitude desired at the end of the trajectory segment %TRAJ_AN_MAX g's Maximum acceleration allowed for current trajectory segment
%TRAJ_AN_MIN g's Minimum acceleration allowed for current trajectory segment
%TRAJ_NSTEP Number of steps in current trajectory segment %**************************************************************************
Variable.TRAJSEG.ConstantQClimb_01_PM_MD0003.INPUT.INSUFF_THRUST_CHECK = 'N';
Variable.TRAJSEG.ConstantQClimb_01_PM_MD0003.INPUT.TRAJ_ALT_END = 26270; Variable.TRAJSEG.ConstantQClimb_01_PM_MD0003.INPUT.TRAJ_AN_MAX = 2.0;
Variable.TRAJSEG.ConstantQClimb_01_PM_MD0003.INPUT.TRAJ_AN_MIN = 0.3;
Variable.TRAJSEG.ConstantQClimb_01_PM_MD0003.INPUT.TRAJ_NSTEP = 20;
%Method: PM_MD0008 Trajectory Segment: Constant Mach Endurance Cruise_01 %
%ENDURANCE_CRUISE s Flight time during cruise %INSUFF_THRUST_CHECK Check for inssufficient thrust in PM
%TRAJ_NSTEP Number of steps in current trajectory segment
%**************************************************************************
Variable.TRAJSEG.ConstantMachEnduranceCruise_01_PM_MD0008.INPUT.ENDURANCE_CRUISE = 500;
Variable.TRAJSEG.ConstantMachEnduranceCruise_01_PM_MD0008.INPUT.INSUFF_THRUST_CHECK = 'N';
Variable.TRAJSEG.ConstantMachEnduranceCruise_01_PM_MD0008.INPUT.TRAJ_NSTEP = 20;
%Method: PM_MD0010 Trajectory Segment: Steady Level Turn_01 %************
%INSUFF_THRUST_CHECK Check for inssufficient thrust in PM %TRAJ_AN_MAX g's Maximum acceleration allowed for current trajectory segment
%TRAJ_NSTEP Number of steps in current trajectory segment
%************************************************************************** Variable.TRAJSEG.SteadyLevelTurn_01_PM_MD0010.INPUT.INSUFF_THRUST_CHECK = 'N';
Variable.TRAJSEG.SteadyLevelTurn_01_PM_MD0010.INPUT.TRAJ_AN_MAX = 2; Variable.TRAJSEG.SteadyLevelTurn_01_PM_MD0010.INPUT.TRAJ_NSTEP = 20;
%Method: PM_MD0008 Trajectory Segment: Constant Mach Endurance Cruise_02 % %ENDURANCE_CRUISE s Flight time during cruise
%INSUFF_THRUST_CHECK Check for inssufficient thrust in PM
%TRAJ_NSTEP Number of steps in current trajectory segment %**************************************************************************
Variable.TRAJSEG.ConstantMachEnduranceCruise_02_PM_MD0008.INPUT.ENDURANCE_CRUISE = 500;
Variable.TRAJSEG.ConstantMachEnduranceCruise_02_PM_MD0008.INPUT.INSUFF_THRUST_CHECK = 'N'; Variable.TRAJSEG.ConstantMachEnduranceCruise_02_PM_MD0008.INPUT.TRAJ_NSTEP = 20;
%Method: PM_MD0001 Trajectory Segment: Gliding Descent_01 %************** %TRAJ_ALT_END Altitude desired at the end of the trajectory segment
%TRAJ_NSTEP Number of steps in current trajectory segment
%************************************************************************** Variable.TRAJSEG.GlidingDescent_01_PM_MD0001.INPUT.TRAJ_ALT_END = 0;
Variable.TRAJSEG.GlidingDescent_01_PM_MD0001.INPUT.TRAJ_NSTEP = 5;
% *************************************************************************
% Weight and Balance Disciplinary & Method Variables
% *************************************************************************
%Method: WB_MD0003 Hardware: TotalVehicle %*****************************
%AKVCPRV m^3/person Volume of provision for each crew member (Formerly VPCRW) %AKVCREW m^3/person Volume per crew member (formerly AKCRW)
%AKVMND m^3/person Volume of manned fixed systems per crew member (FCREW in hypersonic convergence)
%AKVPAX m^3/person Volume of each passenger space (formerly V_PAX) %AKVS m^3/m^3 Volume of variable systems per total vehicle volume
%AKVV m^3/m^3 Volume of vehicle void space per total vehicle volume
%AMUA Minimum OWE weight margin %ANCREW Number of crew
%ANPAX Number of passengers
%EBAND m^-0.138 Error band around the structural fraction EBAND (+/- 0.049) %FWCREW N/person Weight of each crew member (formerly WCREW)
%FWMND N/person Weight fixed manned systems per crew member (formerly FMND)
%FWPAX N/person Weight of each passenger (formerly WPAX) %FWPPRV N/person Weight of passenger provisions per passenger (formerly FPRV)
130
%FWSYS kg/kg Weight of variable systems per vehicle dry weight (FSYS in hypersonic convergence)
%RHO_CARGO kg/m^3 Density of the cargo %RHO_FUEL kg/m^3 Density of fuel (formerly FUEL_DEN)
%RHO_OX kg/m^3 Density of oxidizer (formerly OX_DEN)
%VUN m^3 Volume of unmanned fixed system %WCARGO N Weight of cargo
%WUN N Weight of unmanned fixed systems (CUN in Hypersonic Convergence)
%************************************************************************** Variable.HW.TotalVehicle.WB.TotalVehicle_WB_MD0003.INPUT.AKVCPRV = 1.5;
Variable.HW.TotalVehicle.WB.TotalVehicle_WB_MD0003.INPUT.AKVCREW = 1.5;
Variable.HW.TotalVehicle.WB.TotalVehicle_WB_MD0003.INPUT.AKVMND = 0.0; Variable.HW.TotalVehicle.WB.TotalVehicle_WB_MD0003.INPUT.AKVPAX = 1.7;
Variable.HW.TotalVehicle.WB.TotalVehicle_WB_MD0003.INPUT.AKVS = 0.03;
Variable.HW.TotalVehicle.WB.TotalVehicle_WB_MD0003.INPUT.AKVV = 0.15; Variable.HW.TotalVehicle.WB.TotalVehicle_WB_MD0003.INPUT.AMUA = 0.10;
Variable.HW.TotalVehicle.WB.TotalVehicle_WB_MD0003.INPUT.ANCREW = 0.0;
Variable.HW.TotalVehicle.WB.TotalVehicle_WB_MD0003.INPUT.ANPAX = 0.0;
Variable.HW.TotalVehicle.WB.TotalVehicle_WB_MD0003.INPUT.EBAND = 0.0;
Variable.HW.TotalVehicle.WB.TotalVehicle_WB_MD0003.INPUT.FWCREW = 129.0*9.81;
Variable.HW.TotalVehicle.WB.TotalVehicle_WB_MD0003.INPUT.FWMND = 0.0*9.81; Variable.HW.TotalVehicle.WB.TotalVehicle_WB_MD0003.INPUT.FWPAX = 100*9.81;
Variable.HW.TotalVehicle.WB.TotalVehicle_WB_MD0003.INPUT.FWPPRV = 0.0*9.81;
Variable.HW.TotalVehicle.WB.TotalVehicle_WB_MD0003.INPUT.FWSYS = 0.16; Variable.HW.TotalVehicle.WB.TotalVehicle_WB_MD0003.INPUT.RHO_CARGO = 240;
Variable.HW.TotalVehicle.WB.TotalVehicle_WB_MD0003.INPUT.RHO_FUEL = 567.65;
Variable.HW.TotalVehicle.WB.TotalVehicle_WB_MD0003.INPUT.RHO_OX = 1287.0; Variable.HW.TotalVehicle.WB.TotalVehicle_WB_MD0003.INPUT.VUN = 2.5;
Variable.HW.TotalVehicle.WB.TotalVehicle_WB_MD0003.INPUT.WCARGO = 17792; Variable.HW.TotalVehicle.WB.TotalVehicle_WB_MD0003.INPUT.WUN = 300*9.81;
end
131
B.2 Results
TAU CRUISE_TIME
WCARGO SPLN WS TOGW F1 F2 TIME1 TIME2 TIME3 ISTR IP
THRL_VAR_MAX
OWE_W
8.00E-02 5.55E+02 0
1.86E+01
2.61E+03
4.86E+04
1.80E-09
1.86E-07 0
5.55E+02 0
2.14E+02
2.17E+03 1.00E+00
3.86E+04
9.00E-02 5.51E+02 0
1.76E+01
2.83E+03
4.99E+04
3.82E-10
9.86E-08 0
5.51E+02 0
2.25E+02
1.97E+03 1.00E+00
3.87E+04
1.00E-01 5.47E+02 0
1.65E+01
3.04E+03
5.02E+04
4.01E-09
4.70E-07 0
5.47E+02 0
2.37E+02
1.88E+03 1.00E+00
3.86E+04
1.10E-01 5.44E+02 0
1.53E+01
3.22E+03
4.94E+04
0.00E+00
2.91E-11 0
5.44E+02 0
2.48E+02
1.92E+03 1.00E+00
3.81E+04
8.00E-02 7.05E+02 0
1.87E+01
2.61E+03
4.90E+04
8.64E-12
6.26E-10
1.58E+02
3.89E+02
1.58E+02
2.13E+02
2.13E+03 1.00E+00
3.87E+04
9.00E-02 7.05E+02 0
1.78E+01
2.84E+03
5.04E+04
-1.63E-09
-8.18E-08
1.58E+02
3.88E+02
1.58E+02
2.25E+02
1.92E+03 1.00E+00
3.89E+04
1.00E-01 7.04E+02 0
1.68E+01
3.05E+03
5.11E+04
5.21E-09
1.17E-06
1.58E+02
3.87E+02
1.58E+02
2.36E+02
1.81E+03 1.00E+00
3.89E+04
1.10E-01 7.02E+02 0
1.57E+01
3.24E+03
5.09E+04
4.09E-12
6.55E-11
1.58E+02
3.86E+02
1.58E+02
2.47E+02
1.79E+03 1.00E+00
3.86E+04
8.00E-02 9.80E+02 0
1.98E+01
2.64E+03
5.24E+04
5.40E-10
4.15E-08
3.17E+02
3.47E+02
3.17E+02
2.10E+02
1.79E+03 1.00E+00
3.98E+04
9.00E-02 9.80E+02 0
1.89E+01
2.88E+03
5.44E+04
-1.37E-10
-1.22E-08
3.17E+02
3.47E+02
3.17E+02
2.22E+02
1.61E+03 1.00E+00
4.02E+04
1.00E-01 9.80E+02 0
1.80E+01
3.10E+03
5.58E+04
-4.84E-09
-3.83E-07
3.17E+02
3.46E+02
3.17E+02
2.33E+02
1.50E+03 1.00E+00
4.05E+04
1.10E-01 9.79E+02 0
1.72E+01
3.31E+03
5.69E+04
3.55E-11
5.68E-09
3.17E+02
3.46E+02
3.17E+02
2.42E+02
1.41E+03 1.00E+00
4.06E+04
8.00E-02 1.28E+03 0
2.12E+01
2.68E+03
5.67E+04
-2.49E-10
-1.45E-08
4.75E+02
3.30E+02
4.75E+02
2.06E+02
1.49E+03 1.00E+00
4.11E+04
9.00E-02 1.28E+03 0
2.03E+01
2.92E+03
5.93E+04
-3.04E-10
-1.69E-08
4.75E+02
3.30E+02
4.75E+02
2.18E+02
1.35E+03 1.00E+00
4.18E+04
1.00E-01 1.28E+03 0
1.94E+01
3.16E+03
6.13E+04
-1.18E-09
-6.77E-08
4.75E+02
3.30E+02
4.75E+02
2.29E+02
1.26E+03 1.00E+00
4.23E+04
1.10E-01 1.28E+03 0
1.87E+01
3.39E+03
6.33E+04
1.31E-09
7.54E-08
4.75E+02
3.30E+02
4.75E+02
2.39E+02
1.18E+03 1.00E+00
4.27E+04
8.00E-02 5.53E+02
5.93E+03
2.53E+01
2.34E+03
5.92E+04
-1.44E-10
-1.35E-08 0
5.53E+02 0
1.82E+02
2.37E+03 1.00E+00
4.77E+04
132
9.00E-02 5.51E+02
5.93E+03
2.42E+01
2.58E+03
6.24E+04
-1.78E-10
-1.38E-08 0
5.51E+02 0
1.94E+02
2.01E+03 1.00E+00
4.86E+04
1.00E-01 5.48E+02
5.93E+03
2.31E+01
2.82E+03
6.51E+04
1.62E-10
1.08E-08 0
5.48E+02 0
2.06E+02
1.79E+03 1.00E+00
4.95E+04
1.10E-01 5.46E+02
5.93E+03
2.21E+01
3.04E+03
6.70E+04
2.32E-11
1.89E-09 0
5.46E+02 0
2.17E+02
1.68E+03 1.00E+00
5.00E+04
8.00E-02 7.05E+02
5.93E+03
2.55E+01
2.35E+03
6.00E+04
-1.11E-10
-1.02E-08
1.58E+02
3.88E+02
1.58E+02
1.82E+02
2.26E+03 1.00E+00
4.79E+04
9.00E-02 7.04E+02
5.93E+03
2.42E+01
2.58E+03
6.25E+04
6.87E-11
5.44E-09
1.58E+02
3.88E+02
1.58E+02
1.94E+02
2.00E+03 1.00E+00
4.87E+04
1.00E-01 7.04E+02
5.93E+03
2.30E+01
2.81E+03
6.46E+04
-5.05E-09
-3.08E-07
1.58E+02
3.87E+02
1.58E+02
2.06E+02
1.83E+03 1.00E+00
4.93E+04
1.10E-01 7.03E+02
5.93E+03
2.18E+01
3.02E+03
6.59E+04
-2.77E-11
-2.43E-09
1.58E+02
3.87E+02
1.58E+02
2.17E+02
1.75E+03 1.00E+00
4.97E+04
8.00E-02 9.80E+02
5.93E+03
2.70E+01
2.40E+03
6.49E+04
-3.11E-09
3.77E-07
3.17E+02
3.47E+02
3.17E+02
1.79E+02
1.76E+03 1.00E+00
4.91E+04
9.00E-02 9.80E+02
5.93E+03
2.56E+01
2.64E+03
6.76E+04
1.35E-09
8.97E-08
3.17E+02
3.46E+02
3.17E+02
1.91E+02
1.60E+03 1.00E+00
4.99E+04
1.00E-01 9.80E+02
5.93E+03
2.42E+01
2.87E+03
6.96E+04
-3.07E-07
-4.47E-07
3.17E+02
3.46E+02
3.17E+02
2.03E+02
1.51E+03 1.00E+00
5.05E+04
1.10E-01 9.79E+02
5.93E+03
2.30E+01
3.09E+03
7.11E+04
1.93E-10
1.09E-08
3.17E+02
3.46E+02
3.17E+02
2.15E+02
1.45E+03 1.00E+00
5.11E+04
8.00E-02 1.28E+03
5.93E+03
2.89E+01
2.47E+03
7.15E+04
1.43E-10
9.31E-09
4.75E+02
3.30E+02
4.75E+02
1.76E+02
1.39E+03 1.00E+00
5.07E+04
9.00E-02 1.28E+03
5.93E+03
2.73E+01
2.72E+03
7.43E+04
5.41E-11
3.15E-09
4.75E+02
3.30E+02
4.75E+02
1.88E+02
1.29E+03 1.00E+00
5.16E+04
1.00E-01 1.28E+03
5.93E+03
2.58E+01
2.95E+03
7.62E+04
5.32E-11
2.68E-09
4.75E+02
3.30E+02
4.75E+02
2.00E+02
1.23E+03 1.00E+00
5.22E+04
1.10E-01 1.28E+03
5.93E+03
2.45E+01
3.18E+03
7.80E+04
1.21E-10
5.09E-09
4.75E+02
3.30E+02
4.75E+02
2.12E+02
1.19E+03 1.00E+00
5.28E+04
8.00E-02 5.46E+02
1.19E+04
3.21E+01
2.26E+03
7.25E+04
1.05E-10
1.14E-08 0
5.46E+02 0
1.62E+02
2.07E+03 1.00E+00
5.69E+04
9.00E-02 5.44E+02
1.19E+04
3.04E+01
2.49E+03
7.55E+04
-2.02E-10
-1.83E-08 0
5.44E+02 0
1.74E+02
1.83E+03 1.00E+00
5.77E+04
1.00E-01 5.41E+02
1.19E+04
2.88E+01
2.71E+03
7.83E+04
-7.14E-11
-5.49E-09 0
5.41E+02 0
1.85E+02
1.67E+03 1.00E+00
5.84E+04
1.10E-01 5.39E+02
1.19E+04
2.74E+01
2.93E+03
8.02E+04
-1.33E-10
-9.59E-09 0
5.39E+02 0
1.95E+02
1.58E+03 1.00E+00
5.90E+04
8.00E-02 7.03E+02
1.19E+04
3.23E+01
2.27E+03
7.32E+04
-1.82E-12
-1.16E-10
1.58E+02
3.87E+02
1.58E+02
1.62E+02
2.00E+03 1.00E+00
5.70E+04
9.00E-02 7.03E+02
1.19E+04
3.04E+01
2.49E+03
7.55E+04
-2.83E-10
-2.57E-08
1.58E+02
3.86E+02
1.58E+02
1.74E+02
1.83E+03 1.00E+00
5.77E+04
1.00E-01 7.02E+02
1.19E+04
2.87E+01
2.70E+03
7.74E+04
1.01E-10
8.12E-09
1.58E+02
3.86E+02
1.58E+02
1.85E+02
1.72E+03 1.00E+00
5.82E+04
1.10E-01 7.02E+02
1.19E+04
2.72E+01
2.91E+03
7.92E+04
7.32E-11
4.70E-09
1.58E+02
3.85E+02
1.58E+02
1.95E+02
1.64E+03 1.00E+00
5.88E+04
133
8.00E-02 9.79E+02
1.19E+04
3.39E+01
2.34E+03
7.94E+04
-3.23E-10
-2.96E-08
3.17E+02
3.46E+02
3.17E+02
1.61E+02
1.60E+03 1.00E+00
5.86E+04
9.00E-02 9.79E+02
1.19E+04
3.18E+01
2.56E+03
8.16E+04
-2.45E-10
-1.53E-08
3.17E+02
3.46E+02
3.17E+02
1.73E+02
1.50E+03 1.00E+00
5.92E+04
1.00E-01 9.79E+02
1.19E+04
3.00E+01
2.79E+03
8.37E+04
-1.44E-06
-1.09E-06
3.17E+02
3.46E+02
3.17E+02
1.84E+02
1.42E+03 1.00E+00
5.98E+04
1.10E-01 9.79E+02
1.19E+04
2.85E+01
3.00E+03
8.56E+04
5.55E-11
3.40E-09
3.17E+02
3.45E+02
3.17E+02
1.94E+02
1.36E+03 1.00E+00
6.04E+04
8.00E-02 1.28E+03
1.19E+04
3.59E+01
2.43E+03
8.73E+04
-1.13E-07
-1.36E-07
4.75E+02
3.30E+02
4.75E+02
1.61E+02
1.29E+03 1.00E+00
6.07E+04
9.00E-02 1.28E+03
1.19E+04
3.37E+01
2.67E+03
9.00E+04
-9.63E-10
-6.00E-08
4.75E+02
3.30E+02
4.75E+02
1.73E+02
1.22E+03 1.00E+00
6.14E+04
1.00E-01 1.28E+03
1.19E+04
3.19E+01
2.90E+03
9.25E+04
2.33E-10
1.42E-08
4.75E+02
3.29E+02
4.75E+02
1.84E+02
1.16E+03 1.00E+00
6.21E+04
1.10E-01 1.28E+03
1.19E+04
3.03E+01
3.13E+03
9.48E+04
2.18E-11
1.34E-09
4.75E+02
3.29E+02
4.75E+02
1.94E+02
1.11E+03 1.00E+00
6.28E+04
8.00E-02 5.40E+02
1.78E+04
3.79E+01
2.23E+03
8.47E+04
-1.26E-10
-1.66E-08 0
5.40E+02 0
1.51E+02
1.98E+03 1.00E+00
6.59E+04
9.00E-02 5.37E+02
1.78E+04
3.56E+01
2.45E+03
8.73E+04
-7.61E-10
-7.82E-08 0
5.37E+02 0
1.62E+02
1.81E+03 1.00E+00
6.65E+04
1.00E-01 5.35E+02
1.78E+04
3.36E+01
2.67E+03
8.97E+04
0.00E+00
1.12E-09 0
5.35E+02 0
1.72E+02
1.68E+03 1.00E+00
6.71E+04
1.10E-01 5.32E+02
1.78E+04
3.19E+01
2.87E+03
9.16E+04
-1.82E-12
-5.82E-11 0
5.32E+02 0
1.82E+02
1.60E+03 1.00E+00
6.76E+04
8.00E-02 7.02E+02
1.78E+04
3.82E+01
2.25E+03
8.59E+04
-1.12E-10
-1.44E-08
1.58E+02
3.85E+02
1.58E+02
1.51E+02
1.90E+03 1.00E+00
6.62E+04
9.00E-02 7.01E+02
1.78E+04
3.57E+01
2.46E+03
8.79E+04
-9.64E-11
-1.04E-08
1.58E+02
3.84E+02
1.58E+02
1.62E+02
1.77E+03 1.00E+00
6.66E+04
1.00E-01 7.01E+02
1.78E+04
3.37E+01
2.67E+03
9.00E+04
-7.41E-11
-7.17E-09
1.58E+02
3.84E+02
1.58E+02
1.72E+02
1.67E+03 1.00E+00
6.71E+04
1.10E-01 7.00E+02
1.78E+04
3.19E+01
2.88E+03
9.18E+04
-7.55E-11
-7.12E-09
1.58E+02
3.83E+02
1.58E+02
1.82E+02
1.59E+03 1.00E+00
6.76E+04
8.00E-02 9.79E+02
1.78E+04
4.00E+01
2.34E+03
9.34E+04
-1.26E-09
-1.43E-07
3.17E+02
3.45E+02
3.17E+02
1.52E+02
1.53E+03 1.00E+00
6.82E+04
9.00E-02 9.78E+02
1.78E+04
3.74E+01
2.56E+03
9.58E+04
-3.09E-10
-2.90E-08
3.17E+02
3.45E+02
3.17E+02
1.63E+02
1.44E+03 1.00E+00
6.87E+04
1.00E-01 9.78E+02
1.78E+04
3.53E+01
2.78E+03
9.80E+04
8.14E-11
5.97E-09
3.17E+02
3.45E+02
3.17E+02
1.73E+02
1.36E+03 1.00E+00
6.92E+04
1.10E-01 9.78E+02
1.78E+04
3.34E+01
2.99E+03
1.00E+05
-5.55E-11
-3.03E-09
3.17E+02
3.45E+02
3.17E+02
1.83E+02
1.31E+03 1.00E+00
6.98E+04
8.00E-02 1.28E+03
1.78E+04
4.22E+01
2.45E+03
1.03E+05
2.40E-10
2.32E-08
4.75E+02
3.29E+02
4.75E+02
1.53E+02
1.24E+03 1.00E+00
7.09E+04
9.00E-02 1.28E+03
1.78E+04
3.96E+01
2.69E+03
1.06E+05
7.59E-11
6.43E-09
4.75E+02
3.29E+02
4.75E+02
1.64E+02
1.16E+03 1.00E+00
7.16E+04
1.00E-01 1.28E+03
1.78E+04
3.74E+01
2.91E+03
1.09E+05
-3.50E-08
-6.82E-07
4.75E+02
3.29E+02
4.75E+02
1.75E+02
1.12E+03 1.00E+00
7.21E+04
134
1.10E-01 1.28E+03
1.78E+04
3.55E+01
3.14E+03
1.12E+05
-1.36E-11
-9.02E-10
4.75E+02
3.29E+02
4.75E+02
1.85E+02
1.07E+03 1.00E+00
7.29E+04
135
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BIOGRAPHICAL INFORMATION
Amen Omoragbon is a Nigeria born God fearing follower of Jesus Christ. During
his secondary school days in Nigeria, he fell in love with airplanes. Enticed by their curves
and the physics behind their gravity defying motion, he made a decision learn how to design
these vehicles. He began his colligate career in spring 2004 at the University of North
Texas (UNT) and transferred to the University of Texas at Arlington (UTA) following year.
He earned a Bachelor of Science degree in Aerospace Engineering from UTA in 2008.
During his undergraduate studies, he joined various engineering honors societies, such as
Tau Beta Pi and Pi Tau Sigma, and was elected as the chapter president of the Nation
Society of Black Engineers. In addition to these activities, he was a member of the
Autonomous Vehicle Laboratory at UTA which won multiple awards at the International
AUVSI Unmanned Air Systems competitions.
He continued with his graduate studies at the University of Texas at Arlington in
fall of 2008. In the following summer, he joined the Aerospace Vehicle Design (AVD)
laboratory. He joined the AVD laboratory because he recognized it was a path to realize
his childhood dream of designing airplanes. In 2010, He earned a Master’s of Science
degree in Aerospace Engineering and then embarked on this current research undertaking.
As a member of the lab, he has worked on various aerospace technology and design
projects including assessment of technologies for advancing commercial transports,
evaluation of trust vectoring technologies, performance sizing of electric aircraft
technologies, creation of a high-speed technology investment databases, technical
feasibility assessment of a novel rotorcraft technology and solution space screening of an
air-launched hypersonic demonstrators. He is an author to a Journal article, 5 Conference
Papers, 1 Contract Report and 3 Contract Presentations. Following this Ph.D. research, he
146
plans to pursue a career aerospace technology acquisition and conceptual design
consulting.